Hey Robert,
Contact the applicable building departments for those areas. Obviously, of the two counties you stated, the further from
City limits the more likely that your building department will be receptive. Rural folks understand working with poverty, and building with dirt is rather dirt poor. Hit up their websites first, take notes, get an idea of their
local processes, then you can walk in and talk to them in person and ask their level of receptiveness and willingness to permit one of these alternative builds. You may want to print off a short packet of testing, code allowance in other states, successful permitted builds, etc.
One would assume that most likely new york enforces the international building code (IBC) statewide. But in a rural area, outside City limits, it's a crap shoot.i know there are plenty of alternative builds in rural NY.
You may be able to squeeze by the minimum square footage deal, but unlikely.
What is more probable, is that they will require you to have an engineer stamped plans if they are too issue a permit. If they aren't receptive to the alternative methods, they may be more comfortable with a post and beam with infill.
http://www.structure1.com is an engineering firm willing and passionate to stamp Earthbag, rammed Earth or most of anything you may find an interest in.
Google will turn up many good websites that deal with this issue. Here is one you may like:
http://www.earthbagbuilding.com/faqs/codes.htm
Chris