There are numerous methods for doing what you want. In my opinion using vinegar for stripping is probably the quickest, easiest and safest way to strip the gun. I use it simply because I don't have to worry about poisoning myself, also chemicals like LimeAway may or may not eat the adhesive that's used to hold the front sight on, I wouldn't count on it being soldered in place. Don't sweat the bluing inside the chambers or barrel you're going to make sure those surfaces are oiled after cleaning so corrosion shouldn't be an issue.
As far as the antiquing process is concerned the sky is the limit. I happen to like Plum Brown but here again it's an extremely harsh chemical although you can manipulate the finish to just how you want it, if you mess up simply take it off with Navel Jelly and start over again. You can also polish the white gun and then bury it in coffee grounds for a while and then of course there is mustard. You can also just leave it in the white and shoot the snot out of it, it will quite quickly pick up a patina from the powder residue.
You are going to find out that once the bluing is stripped it hides a multitude of errors. A few sheets of varying grit emory paper and a good dose of patience will cure the imperfections left from the factory. Watch out for the edges of the flats on the barrel and screw holes and use a backing block for the emory paper or you'll quickly find out that it will round off edges quickly.
Have fun with the project and keep in mind that there really isn't a "wrong" way to do this. Don't forget to take pictures during the process and keep us up to date on how it's going. You're going to end up with a very unique gun that will have a character of its own.