Had okay luck with Flemish Giants. Be aware they are big.(and take longer to raise to eating size with slightly poorer feed conversion ratios.) Otherwise never did see much difference in breeds for flavor. Exception was wild cottontail living mostly on wild garlic will have a bit of garlic and sort of sour taste. Don't care to repeat rabbits from that area for that reason.
How are you preparing the meat? My mother's
answer for rabbit was to cool salt
water bath the carcass for 24 hour before eating. A bit of the salt soaks into the meat. Then it was then baked in a roaster with frequent basting. One thing different from the norm here was instead of a water based broth around the meat it was about half cream. This helps keep the meat moist. Go ahead and cook vegtables etc with this to add flavor to the meat. Be aware the cream about 1/2 and 1/2 with water for basting will not make really good gravy. Another good answer is an egg and cracker crumb breading. Do 2 layers. Dry surface moisture off the meat dip in egg and then cracker crumbs then back in egg and into cracker crumbs again.
Oven roasted on a grate in an open oven as this seems to help keep meat moist too. As for natural flavor bunnies on green feed for a while will often taste better.
Country oriented nerd with primary interests in alternate energy in particular solar. Dabble in gardening, trees, cob, soil building and a host of others.