How to prevent moisture problems in newly-sealed crawlspace from the 1800's
You have an interesting problem, with a lot of compounding issues. If you only have 4 courses of brick on top of dirt, that's not much of a foundation either way. I personally would be greatly concerned about movement, but the fact that its been that way for a couple of hundred years is kind rendering it null and void.

I wonder too what you mean by "poly and seal"? Do you mean you have applied vapour barrier to the underside of the joists and sealed it? If so, this will have catastrophic results. Moisture from inside the house will permeate the floor and when it hits the cold (October to March) side of the joist (the bottom) it will condense and pool in the VB. This leads to rot of the joists and mold. If you have insulated as well, it will generally make it worse, unless you have used spray foam (which solves the problem entirely), but I doubt that as you said you have limited access. You could use an air barrier (Tyvek™ or TYPAR®) instead of a vapour barrier, but if you have no insulation, you aren't really achieving anything.

By adding the AC and insulation, you will be significantly altering the thermal and moisture dynamics inside the house and underneath in the crawlspace. In my experience, Virginia is quite humid, but doesn't get that cold, correct? If that the case, frost may not be an issue as far as the foundation goes (heaving and ice buckling), so if it was my place or a customers place, I would probably approach it this way:

1) Dig out access trenches below to give you access to the entire area. A three foot trench every eight feet (on center) usually works pretty well.

2) Get a spray foam company to come in and do an R40 Polyiso foam spray throughout.

3) Back fill all of the access trenches to make sure a soil subsidence doesn't compromise your "foundation".

4) Install venting openings or louvers all the way around.

This way the insulation encapsulates all of the existing structure and insulates it and seals it from moisture ingress from below. The foam will make sure the wood is kept above the dew point in the crawlspace to make sure you don't get water logging of the joists. The venting will ensure the Polyiso cures alright and then keeps the crawlspace vented permanently.