If your ball is hanging when you send it wide for whatever reason, the best answer is to not send it so wide. This can be accomplished 2 ways, depending on your style. My preference is to tighten everything down so you are going more direct and playing to find some hold area. This might require making parallel moves in after you square up. The other option is to make a bigger move left so that you can still swing the ball in your comfort zone without getting it out to the OB. This doesn't work well for me, but younger guys with more revs find this preferable to my method.
OB to the right is odd on a house shot, but if it is a true house shot there should be plenty of oil in the middle to allow you to play it like a track shot.