I may have missed it, but can an Arkansas FFL transfer guns to a Texas (out-of-state) resident? Isn't that like selling a gun to an out-of-state resident, which I believe is against federal law. Edit: I see Bithabus has posted it - item (5).
If it can somehow be proven that the guns were bequeathed to the OP, then he can drive up and just bring them back. If not, then it's my understanding that his grandmother will have to send the guns to a Texas FFL to perform the transfer. It is up to his grandmother if she wants to use an FFL on her end to save on shipping. Long guns can be shipped by an individual using USPS. Handguns can only be shipped via USPS by and FFL. An individual has to use a common carrier like UPS or Fed-Ex, whose policies usually require expensive over-night service, to ship handguns.
If it can somehow be proven that the guns were bequeathed to the OP, then he can drive up and just bring them back. If not, then it's my understanding that his grandmother will have to send the guns to a Texas FFL to perform the transfer. It is up to his grandmother if she wants to use an FFL on her end to save on shipping. Long guns can be shipped by an individual using USPS. Handguns can only be shipped via USPS by and FFL. An individual has to use a common carrier like UPS or Fed-Ex, whose policies usually require expensive over-night service, to ship handguns.