The expensive way to get a 308 bolt for an AR-15 is to buy a RRA 458 Socom upper.
They don't sell the bolt by itself. You might try Marty at Teppo Jutsu :
TeppoJutsu@peoplepc.com
I'd suggest you check cartidge length for the bullets you'd like to shoot. In my opinion the 338/7mmBR loaded with VLD bullets is closer to 308 length (2.8"), not 223 length 2.26"). Of course you can shoot shorter 338 bulelts, but why go to all the effort for a 338/7mmBR to do that. Just shoot a 300-221 if you go below 240 grain bullets. they'll have better BC's and as much energy.
It's real easy to get a DPMS LR-308 or AR-10 with a 308 boltface and a magazine.
the right size. If I wanted a subsonic AR-15 in 338 I'd shorten and open a 7.62x39. Bolts are readily available. Considering the available of dies and reamers for 338-7mmbr or 338-10mmMag it's about as easy to make a new wildcat.