I had bunny problems when I first put in some roses. What the rosarian I spoke to locally suggested was to trim all the way down to the dirt & hope for the best. Worked on both Mardi Gras & JFK. George Burns just didn't survive the winter that year, so I can't blame bunnies. Bunny net/fence doesn't really work, they just burrow under it. Dog hair can be a good deterrent for bunnies, along with fox urine if you can find it (some sporting good stores sell it for hunters as a way to mask human scent from deer). Or just get a dog & let the dog chase the bunnies (that's inadvertently what I did... my golden used to chase bunnies all the way down the block. Never caught one though! But he's been gone for 2 years this Mother's Day & my other two dogs.. one doesn't really care for chasing bunnies & the other I can't trust off leash.)
Poor roses! Too bad you can encourage falcons/hawks to roost nearby.. I have prairie falcons that scan our skies regularly for bunnies/squirrels on the ground.