Local vs Nat'l Bank on Future HELOC Borrowing

Hey BP!

I'm about to make an offer on my first property! I have the option to borrow with a local bank (slightly better rates) or a nat'l bank. I plan to borrowing using a HELOC in the near future. My question is:

Would having a loan through a local bank in one state (Missouri) have a hindrance on using something like a HELOC in another state (Tennessee)? Would it benefit me to use a nat'l bank in this case?

Thanks in advance for your help, as always!

Brian