Javelina might have some left over tags available for over the counter purchase, but the draw is long gone. HAM (Handgun/Archery/Muzzleloader) opens Feb 7-16. General is open Feb 21-27.
General spring bear opens March 21-May 1. Over the counter non-permit tag required.
Coyote, fox, and bobcat are all open until March 31st with just a hunting license needed, no special tags. Bag limit is unlimited. Coyote is actually open year round.
Mountain lion (over the counter tag) is open year round, and there are PLENTY around the area you will be in, but good luck with those sneaky suckers. One per calendar year bag limit.
Cottontail rabbit is open year round with a bag limit of 10 per day, no tag needed.
Jackrabbits are open year round with no bag limit. No tag needed.
Coati are open year round with a one per calendar year bag limit. No tag needed.
Quail is open until February 9 with a 15 per day bag limit. No tag needed.
Chukar is open until February 9 with a 5 per day bag limit. No tag needed.
Archery deer ended Jan 31.
Quite a bit of fishing within a few hours as well. Roosevelt Lake, Apache Lake, Canyon Lake are all relatively close.
Good luck!