The obvious solution is that I, as an incredibly powerful omnipotent god being, will mug anyone who spends too many resources dealing with pascals mugging style issues. If you have sufficient evidence that your particular example outweighs the risk of me doing that, then it's not exactly a pascals mugging, is it?

At the very least it shows there's a point behind which it's no longer useful to consider a very small probability in your utility calculation. That point is where the probability of your hypothesis being true is close to being as probable as my claim being true. So now the big question is "how unlikely is my claim"?