4 SBA loans have financed Peter Piper Pizza locations since 1993, written by 3 different lenders across 2 states. Half were approved for $683K or less, the mix is a mix of 7(a) and 504, and 0% went to owners whose business was under two years old.
A lender that has already underwritten this brand knows the unit economics, the build-out costs, and the franchisor. That is worth more to you than a bigger bank starting from scratch.