4 SBA loans have financed Vinny's Italian Kitchen locations since 2006, written by 2 different lenders across 2 states. Half were approved for $40K or less, the mix is almost entirely 7(a), and 25% 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.