Ken's experience is not to be taken lightly. When I go to file and prep my own action, I'll follow his lead,

If you disassemble and do your own polishing, most shops will do do the CCH for <$300. Some won't have it any other way. When you find one that will receive your entire gun as is and return it with new CCH, you'll likely be paying many hundreds.

My last one was done a year ago (disassembled, polished, CCH'd, reassembled) by Giacomo Sporting in Lee Center, NY for <$400.