I'd probably save money and forget rebluing the boxlock and instead chemically strip it and give it a brushed coin finish.
One more quick question: Given that the boxlock was case hardened I understand that it might not be the same color as the barrels if it gets reblued with them.
If I used some sort of acid (boric?) to get all the old colors/grime off, would I have something similar to a French grey finish? Would it need anything applied over the top to keep it from rusting, or is the steel hard enough that it will be fairly rust resistant?