Couldn't find a 1st gen awd dsm for sale, but say you started with this assuming it is in good condition
95 Eclipse GSX AWD TURBO 5 SPEED RARE OBO = 3500

A 1G awd roller with blown motor would be ideal and ~1k

big turbo and nice manifold/plumbing from dsm forums/craigslist (budget 2k)
fuel pump/injectors/rail/FPR= 700
Wet nitrous kit + refill (~250)
MSD6al/2step, dsmlink, cams + a good E85 tune (~1k)
4 used slicks (100-200)
bottom end build, or used built shortblock (1k)
used act pressure plate/clutch kit ~200-300
clutch exchange in decatur will add more meat onto the 6puck discs for 80 bux

Super gutted/stiffened/lightened chassis =~2k and ~5k in mods, probably would at least get into the 10's, no?

Let's say you found some of this stuff on forums/ebay for even cheaper- or better stuff since I think it's a conservative estimate