Disclaimers: SWAGs follow.
Assuming you have 100% of parts (or at least not missing any hard-to-replace items):
P2 BJ8's are one of the most 'desirable' Healeys based on market value (I know, it's a matter of opinion, but we're talking $$$). From your description, it would be worth $10-12K and maybe more depending on how hard you work to sell it and how much time you have. There are a couple 'restorers'--I won't mention any names--that specialize in selling tarted-up cars (esp. BJ8s) who would love to have this car, but they will almost certainly low-ball you badly.
If you have the time and inclination, you might get more by parting it out on eBay (decent shrouds alone can fetch a couple grand, but shipping would be a hassle). Most of us here would prefer you sell it 'as is' to a good home.
If you don't have clear title you may have no choice but to part it out.