So all your feed material is 2" minus? Are you looking for portable, tracked, stationary, electric , diesel? What are your limitations? Being an old sand/gravel pit, is it safe to assume you have existing 480v 3 ph and conveyor systems ? I got a guy 35-40 miles north of you, put you in the right machine for what you're after. I am not sure of breaking rules regarding hawking my own junk. I don't want to cross a line. If you PM me, I can put you in touch.
All that aside, I would think a small cone crusher would be the hot set up. That's depending on you having a steady flow of material with a surge feeder . Cones aren't fond of starving for material. There are integrated portable plants available with a surge bin/feeder into crusher, out to screen deck and recirculate the overs back to the feeder. Pricey but they exist.
An other option, less efficient for what you're going for would be a HSI or impactor. Harder to hit your target size on first run through. There would be a lot of re-handling. Not the best but more forgiving and versatile for other products such as RAP.
Finally there is the VSI , another impactor on a vertical shaft. You can fine tune it to produce dust from 4" and anything in between. They require some test and tune time to hit your target, once set let it eat, keep it fed, make rock.
I left out the jaw , close side setting doesn't really lend itself to producing 3/8 consistently. You could choke it down that tight, but I believe the accelerated wear of the jaw dies isn't worth it.
Good luck with whatever choice you make.