I would try to avoid LGA in winter. You can accomplish the same with a quick turn to MIA from TUL:
$795.89 2,789 miles after 500-mile minimum, fare code SA0TERD1 booking into P.
Dec 29 AA TUL-DFW-MIA-TUL
500+1121+1168 = 2,789 miles x 1.5 for P = 4,184 EQPs x 2 AATHX = 8,368 EQPs. (Check my math.)