Hi, im not sure of any hotels near there, but what i do know is pretty much any hotel will let you use their pool if you buy a snack and a few drinks there.
All you need to do is walk in, ask the manager if it is ok to use the pool because you are buying drinks, and most will say yes.
I think a couple charge, but it is only about 200rs.
Sorry, forgot to mention in nearly every hotel i have been to in Goa, people come and use the pool even though they arent guests at the hotel.
Its good business sense to let people who arent guests use the pool, in return for them spending money at their pool bar, so i doubt that any hotel will object to you using their pool.