Briley in North Houston might, call, Carter Country, they may have recommendations. There is probably a hundres within in a 2 hour drive.
I have used Hill Country Rifles, Great people and great gunsmiths..
No matter who you use, ask them how long it will take. Some of the BIG GUYS can be Too Busy building complete rifles to mess with a in[profitable bedding job.
MG Arms is in Spring Texas they are very good.
I have never done it but have watched it on you tube and Gunwerks TV show. doesn't look too hard.
As far as your first gunsmith. At least he called at told you he couldn't do it and come pick it up.
Many will just lock up and run !!!
Good luck, keep us posted
"I ain't here for a long time, I'm here for a good time"
King George Strait