Short answer: yes, I agree, you should get her spayed. Is it possible that there is a high volume spay/neuter clinic in your area that sees a decent number of rabbits?
Long answer: I think the internet is a wonderful, wonderful source of information, but also gives everyone the instant chance to be the expert without any actual work. I feel like the stats on unspayed female rabbits and cancer is almost like a game of telephone, with everyone offering numbers and no one offering an actual citation… (no offense meant to anyone here!) So what I’m saying is, it’s not necessary that your vet is either terrible and must be shunned, or an all-knowing expert. If you are confident in him overall based on your interactions with him over the years, why don’t you look up some reliable source on rabbit spays and share it with him? Vets and doctors are people too, and we can all stand to learn. That being said, I definitely wouldn’t let him operate on your rabbit, since it sounds like he is not very familiar with this procedure. If you live in America, the House Rabbit Society may be able to point you towards a clinic in your area that does rabbit spays.
It’s your call about the vet: especially depending on where you live, you might not want to give up on a vet who sees exotic animals that you are overall happy with.