7mm08, if you had a 270 Win all it would require to make it into a perfectly functioning 6.5x55 would be a standard rebarrel.
You could buy a blank in the contour you wanted and have a local 'smith thread, chamber, and fit the barrel.
You could also send your action to someone like PacNor and have them fit and chamber one of their barrels for ~$600 in SS. This includes lug lapping and action truing.
Places such as IT&D and ER Shaw will do it for much less.
I gave three choices here. I'd go with Pac-Nor myself.
There are many others in the PN price range too.