The good news is yours has everything going for it.
1. Original condition, including finish, pups and case- usually these were bought by kids over the years and trashed.
2. Floyd Rose model. The most common Doubles were stringthrough bridge models. These weren’t recessed but the Doubles came with actual FRs not licensed or the terrible Steinberger units.
If in good cosmetic condition (which it may appear from the one pic) I would go for no less than $3,500 unless you wanted it gone quickly, in which case , no less than $3,000. I sold a white one in identical condition years ago for more.
Also good news, is these have their fanatics (which I once was before owning a few and deciding they were not for me). These fanatics will look very favorably on an original condition example in good condition
The bad news is that they are a niche metal-market guitar and the fanatical fans are much more scarce than those interested in the traditional 50s/60s/Norlins, so you may have to wait for the right buyer. Good luck!