Unfortunately if you owe past child support VA more then likely will not approve the loan. It will report to the credit agencies as a delinquent account with the State of Texas which is considered government debt.
Once you pay off the past child support it should happen for you.
In your answer to rolling in closing costs, the only way to "roll them in" would be for the seller to agree to increase the loan amount to cover your closing costs and give you a seller concession.
If you need help please call me, I do both real estate and mortgage.
I have had a client in a similar situation last year where he owed 26K, he couldn't get a loan, couldn't get a passport and many other things. He discussed it with the ex, came to an agreement. They hired an attorney and appeared in front of a judge and settled for 13K.
May be your husband can do the same thing... depending on his relationship with the ex.
I am a Dallas realtor and Dallas loan officer happy to assist you.
It depends if Texas Attorney General office has reported on his credit report if so then credit issues need be resolved with AG's office .
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I am the agent who asked you the question, and I am also in the area of town your looking at, Plano.
If your husband is the Vet, and the VA loan would be in his name, and...he owes back child support it might be difficult right now, unless he pays off the $20k in back child support, and then I would see if you could roll in closing costs and come to the closing table with very little down, VA or conventional. Please email me directly, I would love to see if I can get you into touch with a loan officer in the Plano area who can answer your questions, and I would also love to see what I can do as a Realtor to help you now or in the future!