I have a labrador and it's almost impossible for me to find an apartment either, I even upped my price to $5k a month and I still can't find anything that isn't awful (and that's ignoring the price).
I only had found two places that were okay with my dog back then.
I've been so frustrated with this lately I actually tried to think of a way to solve this problem from a business perspective, but haven't come up with anything much better than being a super niche insurance company which would have an incredibly hard time getting buy-in from landlords (who hold all the power already). There's no doubt in my mind pet owners, or would-be pet owners, would be willing to pay more for their loved ones - but how to create a market for that when the landlords hold all the cards is something I haven't figured out yet.