Do you have an RSPCA near you? I know you said you're out of patience with rescues but they are careful about where they rehome to because they don't want people adopting pets only to get bored and dump them back in rescue
I have never had a rabbit or two (can't at the moment because Tigger's a hunter), if you're thinking of getting a rabbit though get a pair of rabbits, they live in groups and it's more stressful for them to live as single rabbits than to live with other rabbits