I think that's not bad. Alternatively, you could twist it into something like "tee" with a logo with some sort of particularly relevant tee-shirt, or "thee" to go with a sort of theme that "it's always you" or something, or just a logo.
I don't dislike "T" either, but for some reason, despite my nickname, for some reason just the T, one letter, doesn't sound/look the best to me. I can't really explain it.
But make sure to link us once you decide! I'm definitely interested.