One guy said he would strip the soil down to clay, use #1 and #2 limestone as a base, then top dress with #57 limestone
No issue with this, other then the topping material; I would definitely want to know either the thickness or spread rate, or total tons/cys he's proposing; maybe the thought is the 57 will get pushed into the larger rock below; but will still aways have a loose top layer
One guy said he would strip the soil down to clay, use geo-textile fabric, use #1 and #2 as a base, then top dress with #57
No issue; but the fabric is intended to bridge soft pumping material (organics/fat wet clays, does its job, but doesn't 100% fix it; note this isn't a rigid pavement, and minor settlement over the years wouldn't be the end of the world); once again, make sure 1 and 2 are proposing similar thickness; I would not go from 6" with no fabric to 4" with fabric;
One guy said he would NOT strip any soil, use asphalt chunks and grindings as a base, the top dress with #57 lime stone
This is an odd one; in that "grindings" wouldn't benefit from a top coat of stone; unless your wanting an astetic. The "chuncks" concern me a bit; but actually millings straight from the roadway do have chuncks, flakes, RPMs, and a bit of everything. My concern with "chuncks" is are we talking basically demo debris? That'd not what you want, unless we are just filling a swampy pit. Again, compare apples to apples on thickness. #3 sounds bad at first, if this is a poorly drained, nasty area, I could see using larger asphalt debris as a stabilizing material, and something smoother on top. It's almost Always best practice to strip organics; but if some cases; IE its a swampy pit, it can be like waking the dead, basically churning up the soap. If the native soils are fairly decent, strip the organics; avoid disturbing more then necessary; and add base.
Ideally, any road/parking area/trail/building pad should be higher then the surrounding area, either by use of swales or by building up. If your fighting high ground water levels; the base will stay wet if the finish grade is equal to surround area; you just create a sump where you excavate.