Array size for southern New Mexico

I'm trying to do a conceptual plan for an array in southern New Mexico. The biggest unknown is that I need to run a small AC during the hottest part of the day.
So assuming I need to run a small window shaker (1000W) for, say, 6 hours a day during the hottest, sunniest part of the day, any ballpark on the array and battery size?
So assuming I need to run a small window shaker (1000W) for, say, 6 hours a day during the hottest, sunniest part of the day, any ballpark on the array and battery size?
Comments
5,000 watt array - 14 CS 370 watt modules. HZLA horizontal tracker. Schneider: XW6048NA+, Mini PDP, MPPT 80-600, SCP. 390ah LiFeP04 battery bank - 3 Discover AES 42-48-6650 48 volt 130ah LiFePO4 batteries
-Bill