Split it wide open
place in container w olive oil, basalmic vinegar garlic lemon, rosemary...marinade
You can spice it up or flavor to your palate or tastes..more herbs, cayenne, etc...
Overnight best few hours minimium to marinade...flatten
U can use wire apparatus or cpl bricks w foil on up side of carcass
Either way you want carcass on grill flat u can baste, salt pepper thru process
Best over coals...
You can use unused marinade for dipping sauce
Lady I know was Portuguese raised her own meat rabbits & wild cousins
She used all marinade including used marinade but brought it to boil ...
wacked it up with butter & white wine , etc...
& used that for finishing sauce or basting...
Incredible & healthy to boot,