Do i pay for lodging?

You are not obliged to do this. I would not get involved. If they damage anything, it will be on you. Just say, sorry, not in my budget. You guys should feel free to arrange ti.

If the bridesmaids suggested it, those who want to participate can arrange it. You would only be responsible for the cost if you were requiring them to stay there.

Definitely not on you to pay for lodging! I feel like when someone agrees to be in a bridal party, they also agree to the cost associated (i.e. getting to the wedding, where to stay, etc).

If you require they stay there, you should probably pay. If it's an optional thing, they can contribute especially if they suggested it. To me, it sounds a lot easier to just let everyone get their own hotel rooms. I know my fiance would WAY prefer our own hotel room & own bathroom rather than sharing an airbnb with people we don't know super well.

I've seen it go both ways. My FH was in a wedding last year and the groom paid for hotel rooms the night before as their thank you gifts. Except he bought two rooms for all the guys and completely forgot about their significant others!! We didn't find out that there was no where for me to sleep until 2 days before. I'm sure your wedding party would be happy to split the cost. I think BnB is a fun idea, but I could understand everyone wanting their own separate rooms at a hotel too.