Here's an unconventional suggestion: Find a high serial numbered M1 with the worst barrel you've ever seen: Throat erosion is way off spec, pitting up and down the bore, crown all buggered to hell, BUT, the stock, receiver, and trigger group are fine. Point out that the barrel is crap and offer $400. Then send it to Fulton Armory and have them install a new barrel for $300.
I can personally recommend Fulton Armory. It make take 2-3 months, but they do great work.
EDIT: It looks like they're swamped with orders right now, and the website is down. If you don't feel like waiting for all this hooplah to simmer down, try ordering a barrel from Sarco and get a qualified local gunsmith to install it.