You have the right idea about your approach to the next creek crossing. If you are unsure about getting through there your idea is the safest bet. If the banks are stable you can back up to the point at which your back tires will start down over the edge. Have your outriggers down, just above the ground, as you back up. Just in case the bank gives way un-expectedly. Be sure to pay some attention to the outriggers as you back up. You don't want to hit anything with them. As I have said before, be sure to have your pipe all glued together before you dig. Once you start digging the first half you will have an idea as to how well the ditch will stand and how much water you may have entering your ditch. I still suggest that you take some of your pipe and lay it in the flow line of the creek (parrallel with the creek). Back fill over the up stream side of the pipe, leaving the end open, to force the water to enter the pipe. If the creek bed is close to flat, or even reverse fall, you should also backfill over the down stream side of the pipe (again, leaving the end open so that the water can escape) so that the water will not "back up" into your trench. A few light taps on the backfill will help to seal the water out and keep it from leaching through to the trench. The main object will be to get the water to enter the pipe, transfer to the down stream side of the trench, and on down the creek. The dryer you can keep your trench, the easier the job will be, and the higher the success rate will be. Of course, you will have to "tunnel" under said pipe but the extra work, and time, will be worth it if you can keep the trench standing until you are done laying and bedding your conduit. Once you go over to the opposite side of the creek then you can dig as close as you can to your "drain pipe" on the same side you are digging from. Dig all the way down to your conduit grade. Dig the length of "one set", not all the way out of the creek bed yet. Once you are down to grade you can reach over the "drain pipe" and push out the plug towards you. Once you have the plug out you can clean the spoils out from the side you are digging from. Be careful not to push too hard on the plug as this will tend to make the sides fall in. Take small bites starting close to the top (just under the drain pipe). You will also have to move the hoe around to get the best angles as you do this. At the beggining you should set the hoe as far as you can, away from the drain pipe, yet still be able to reach it. This will allow you to dig a more verticle back wall without damaging the drain pipe with the heel of the bucket. When it's time to push out the plug you will have to move the hoe as close as you can to the drain pipe. This will allow you to get as far under the drain pipe as possible without hitting the dipper (just above where the bucket mounts to it) on the drain pipe. The deeper you are, under the drain pipe, the easier the manuever will be. The description may sound complicated and confusing but it will become clear to you once you start in.
The two foot wide bucket may be adviseable if you are getting in the trench. The only real downside, if you only talking about a small length, will be that you will use up more bedding material. An advantage will be that the digging should be a little easier, and that the trench walls should be more stable. You will still end up with dirt in your pockets though. The wider bucket will allow the rocks to enter the bucket more easily. With a one foot bucket you often will fight the rocks and, more often than not, they will ride out of the trench on the side cutters rather than in the bucket. Any binding or pressure against the sidewall will only work to de-stabilize it. This will make it more prone to cave in. Again, this sounds complicated, but time in the seat will reveal the benefits of what I'm trying to explain here. If the ditch caves in it will not be the end of the world...as long as you can still reach the spoils with the hoe, and as long as it does not cave in so wide that it extends beyond the effective ends of the drain pipe. Time is of the essence. The clock starts ticking once you start digging. The longer the ditch stays open the more chance you will have for water intrusion and cave in. This is why I suggest that you pre-assemble the pipe. Having your neighbor, or whomever, on hand is adviseable. Once you remove the plug then you can finish digging your way out of the creek bed. Drop your pipe in and get it covered with sand ASAP. If possible, start at the center of the creek with bedding/backfill. If possible backfill and compact, as best as possible, in the flow line of the creek before you move on. Backfill enough so that the water will not fill any other portions of your trench. This will only cause you more headaches (like pipe floatation, and cave in). If you think that the ditch will not stand, for the duration, than knock the edges off while you can still reach everything. Remove anything that you think will fall in later. It will take longer but will save you a lot of time and effort in the long run. The deepest point of the trench will be at the tops of the banks (both sides of the creek bed). I would suggest that you "lay back" the trench at these points. That is to say that you should dig wide at the top leaving the trench bucket width at the bottom. Use your judgement and error on the side of caution. No use getting someone hurt over this.
Earlier, I said to back up the hoe to the edge if it's stable enough. If you don't trust the egde, or if you need to get closer to the center of the creek, you can dig ramps down the creek walls. This can help accomplish (2) things. Frist, it will allow you to get closer to the center of the creek affording more reach. Second, it will reduce the depth of the trenches at the creek bed edges. If you do employ this technique I recommend that you ramp both sides of the creek before you start your trench. It will take more time to make the ramps, and if you remember, time is of the essence. Take the time before the clock starts ticking (when you start with the trench). After all your pipe is in and backfilled you can restore the creek walls if you need to.