We can send it to any of our Banks with an approval. Are you brokering this deal or are you correspondent? This will make all the difference in the world. You can always try a temporary buydown on the FHA and run wihth the lower DTI's for approval. This should work fine?
Also, check for student loans. If they have any, get them deferred. Also anything that has under 1 year of payments left on it can be removed from liabilities with UW approval. If they are close to being under 12 months, have them pay that item down to 11 months.
You can also have them shop around for cheaper home insurance, this helps sometimes too.