If you're simply looking for a hot blue to spruce it up, I had Mel Doyle's gunshop in Plummer, ID do a reblue for me on a beater Rem Model 11 16 ga, I polished up and sent his way. It turned out very nice.
He does the standard blue for somewhere around $100.00 and the high polish for around $150.00, if he does all the work. If I remember correctly, he charged me $60.00 for the job he did on the Model 11-it was disassembled and polished to 400 grit. He told me he put a bit more shine on it than the 400 grit I turned it over to him, with.