Hotel in Tokyo with common bath (like sentō or onsen)

Hi everyone, I'm planning a short trip to Tokyo with a friend. I've been to Japan a couple of times but this time around I'm stumped by small problem. We'd like to stay in a twin room in a hotel that has a common bath (like sentō or onsen basically). Unfortunately, using Booking, Agora or Hotels, I cannot find the right filter to search for a hotel that has this kind of common bath. "Bath," "bathtub," "spa," all bring back unrelated results. Looking for sentō in gmaps brings up establishments that are only sentō, not hotels.

Anyone here has a suggestion on how to filter results on booking/agoda/other websites? Or knows the name of a chain or hotel that correspond to these criteria? (In the latter case, max budget is 200 eur/night in February, and the specific area is not very important)

I specify that we need a twin room because I'm aware that (some?) Dormy Inns have this sort of common bath, but none seems to have twin rooms, only doubles (so we'd like rooms with two single beds, not a single queen bed).