A ductless mini split system might be a great choice for your new space. Super efficient, quiet, and reasonably priced - especially when you save on not adding duct work. Good luck and post some pics when you get a chance.

Handyman here. Lots of great suggestions for alternatives to pulling the P trap. The thing is, pulling and cleaning the P trap is super easy. Easier than everything else listed here. By the time you bend a coat hanger or go buy some drano, you could have the p trap off and back with no tools needed. I think this may be one of those cases where the best question isn’t “could I” but “should I” do some alternative thing…