Not aware of any buffalo matches in New Mexico. They do have one in late October at Pecos Tx.
I believe one of the gun clubs around Alburquerque holds bpcr sillouette matches.
At the Whittiingto center they do have bpcr sillouette matches monthly, and then the national matches will be there, starting July 6th.
In late September the Blackpowder Target Rifle Matches will be at the Whittington center.
They do have at the Whittington a buffalo target at 1100 yds , you can shoot at from the sillouette firing line, when ever there isn't a match going on, and I think over on the Cooper range there are some animal sillouette targets.