Hm, that is worrisome that a lube like Maximus caused burning at all for you. I would definitely try another just to see if you're reacting to a specific ingredient in it. But if you keep getting the same reaction, I would assume that it's not the lube causing it. It could be that you have a raw spot or small scratch in the rectum from anal play and that would definitely burn but outside of lubricating it would go unnoticed.
As for recommendations, I've heard nothing but praise about
Gun Oil from close friends of mine. Just keep in mind that this lube is silicone based and not water based.
Good luck!