Can I swap bolt heads on these actions?

OK, here's the dilemma - I purchased a Savage 111 in 300 Win Mag. It's a long action of course. I want to convert this into a 6mm BR, or maybe downstream a 6.5x46 Lapua. Anyway, I'm looking on Midway for a replacement bolt head but can't find one for the long action which will fit the base of a 6BR. I know the 6 is the same as a .308, but all the bolt heads I find for .308 say short action. Did I screw myself by purchasing the long action in 300 Win Mag? Can I purchase the .308 bolt head for the short action and use it on the long action bolt?

This is going to be one hell of an interesting learning project!

You're thinking to hard. I do that a lot LOL.
Get a bolt head for a 30-06. same as a .308.

I can just see mugsie slapping his forehead :)

[size=10pt][size=10pt][size=10pt]SLAP! Duh![/size][/size][/size]