[Sangetsu]

In what city is the school located? If it's near Tokyo or another large metro area, housing should not be difficult to find, nor should it be very expensive. You can check first with Sakura House and see if they have anything available near your school.

As for tattoos, yes, they are frowned upon in Japan. Those with tattoos are associated with the lower/criminal levels of society. But tattoo parlors do exist. I believe I saw one in Asakusa just the other day when I was there shopping, if I'm not mistaken, it was near the Sakura hostel building, which would be convenient if you happened to be staying there.

Otherwise, you can ask any Japanese who has a tattoo where he or she got it, and they'll probably be happy to tell you, as long at they aren't yakuza (who will probably sneer, call you a "baka gaijin", and walk away from you as though you were something the dog left on the floor).