For me, I would choose the far SE corner of NM - best LI, CAPE, backing winds with fairly good lapse rates going by the latest RAP. Hopefully the increasing LLJ late afternoon can increase the chance of a tornado. Closest place I could find to my target is Kermit TX, so I would start there - from what I gather the team are in Carlsbad, NM, not too far away so perhaps not too early a rise when they awake!