Looing for a booking system that allows this situation

Customer picks date + time, fills out form when booking, price changes based on their answers. So it calculates the price based on their responses, and charges that for the booking. I don't want it to be extras that they addon to a booking. It needs to ask questions and then calculate the price based on those answers.

I don't want to use a form plugin, as I need it to tie into a booking system. Using a form doesn't fix the issue of someone then needing to still pick a time.

I use Woo for other products sold on this site so happy to tie it into that.

Any suggestions? thanks