I don’t work with the OTO but they did invite EA to speak at one of their gatherings, though there are some members who are afraid of him and his “army of black magicians.” LOL. There are also members on here who identify as Thelemites so I don’t see Thelema and BALG as incompatible.
As for finding a ritual space, you can do most rituals in your head. There is a tutorial on the forum for building an astral temple. You can do all rituals there. Comes in handy if you don’t have space. When you get really good at it, you can even do ritual while you are physically out and about, like riding a bus.
Hope this helps.