Johnny this client must be a Farmer!
I cannot see any civils contractor producing a method statement for a 6 tonner working on a slope 1in2 whilst sitting on wet clay.
In my experience it can be done as long as the machine remains off the clay and places the layer of clay as it progesses. This assumes the base is a firm suitable footing to run on.
I once covered a huge area of batters with 'Sewage Cake' using a 13 tonne Hitachi. It was tipped in a windrow at the base ready to be pushed up with both a D5 and D6 dozers and I was simply loading the dumptucks with the evil smelling grease like substance.
What a performance ensued! with the Dozers spinning and sliding everywhere but getting precisely nowhere up the batters.
It was decided that I would have to spread it on with the Hitachi, and the D6 would then rip through to mix it.
I progressed by working accross the slopes and pulling the windrow up from the base and spreading material as I went. The only problem was in places the batters were so long I had to keep throwing a windrow above and doing another pass up to four times to reach the top.
Only once did I try to sit on the spread material, and had a lovely ride straight to the bottom with no chance of stopping.
It was so bad the D6 could not climb the slope on the 'Cake', so I had to leave a road every so often for him to climb up and then slide down with the ripper dug in. It turned out a good long hire for me though.
If you can use a long reach with a good Operator, then that would be my first choice as it will make you less weather dependant or help with poor material. Other than that surely a D4 LGP will hang on better and certainly produce a nice sealed in finish to the clay with the grousers, that's what we always used on landfill cells.
Hope you get the work,
Eddie.