Nosler makes a 60gr., 22-cal Partition:
http://www.nosler.com/index.php?p=3&bullet=3That would be my choice. I have a box of 50 that I bought for my .223 WSSM, but I haven't used them yet. There is no recommended twist rate on the box, but the bullet is shorter than the 60gr. Ballistic Tip Varmint which has a 7"-10" twist recommendation on the box. The Hornady 60gr. V-Max is even longer than the Ballistic Tip Varmint and that box has a 7"-12" twist recommendation on the box. Go figure.

Doesn't matter to me; my WSSM has a 1:10" twist. If your .223 Rem doesn't have a fast twist you can call Nosler and ask for their recommendation for the Partition.
Here's Nosler's loading data:
http://www.nosler.com/index.php?p=15&b=22cal&s=152There was also a Trophy Bonded Bear Claw, made by Speer I think, that weighed 55gr. That bullet has a solid shank and a lead nose and should work in any .223 Rem. I don't know if it's still in production, but that would be my next choice after the Nosler Partition.
Whatever you do, bring along a shotgun loaded with buckshot. A .223 Rem loaded with big-game bullets should kill a hog, but I wouldn't want to have to follow up a wounded hog with one. If you get charged, you need something with a lot more thump.