some very kind RU people once did a bunnyrun (luvabun and oldie-bunny)from York rescue for my bun Sooty(I live in Gloucester)
but I also did a bunnyrun down to Bristol then kept those buns overnight and next day went to North Cotswolds for someone. (That bunny was going from Cornwall to Northants I think).
my daughter (bunlover) has often done a bunnyrun from Slough to me ( and vice versa) when she visits me.
You would need to discuss the temperaments of each of the bunnies with the rescue though to be fairly sure they are likely to bond before taking one on.
Ideally you could let your bunny speed-date at a nearby rescue as the fluffy little thing you think is cute, may not be to your bun's liking at all and he may chose a quite different looking one!
sue:wave: