I am guessing Dr. Check will agree to this, for sure, - unless he has a good medical reason why your chances would be better with him directly - which is also a possibility, each case is different. So if he does think your chances are just as good with out of town monitoring, the bigger problem might be finding an RE in So. Cal who will allow their lab to be used while following another person's protocol. I don't know how that works.
i don't know anybody personally who has done this but on the regular high fsh board there are women who did out of town monitoring with Dr. Check, and those messages should be in the archives.