I don’t know where you’re looking to buy, or what your price range is, but maybe you should look into buying a new build? That’s what we ended up doing this year, we found a cheap townhouse in an area we are very happy in, and the builder was happy to accept FHA and VA.
A lot of other military families took the same route, as there are at least 7 other military family just in our little cluster of 12 townhouses.
Good luck to you! I have many friends who have been in the housing market game for at least a year, and have yet to have a single offer accepted–the rejection wears on you after awhile.