If you want the 77-gr MatchKing bullet, I'd recommend Mk 262 Mod 1 in 5.56 NATO, available commercially from Black Hills Ammunition (link to midwayusa.com).
For non-5.56 NATO, I also like Hornady .223Rem 75-gr TAP FPD (link to midwayusa.com).
Both should work fine in 1/8 barrels (both will work in 1/7 barrels).
Match bullets are for precision shooting accuracy. They do not make good defensive rounds.