Eastman's, to my knowledge, hasn't mentioned them as they are non-native big game. The tags are very hard to draw, harder for the IBEX than the ORYX, you can look at the hunt report and do the odds yourself.
IBEX there is good public land and terrible drawing odds. The herd exists almost entirely on the Florida Mountains south of Deming. Extremely steep rough and rocky desert mountains. Archery has low success rates as its very hard to get in bow range of an Ibex, but is the quickest way to get a tag if you just want to hunt them. Muzzleloader seems to be better. If you draw this tag, I'd reccomend being in top physical condition to get around the rock.
Oryx takes places mostly on the White Sands Missle Range. There are free ranging oryx off the range on Ted Turner's place if you are not opposed to hunting private land. Private land hunts are run by Kiowa on the Armendaris ranch, here's a link:
Now on the missle range, I have debated with myself to use a guide or not if I draw the tag. I don't think you need one BUT it is a OIL license, and you only have 2-3 days to get it done. There is plenty of info out there and people seem willing to share and help out since is OIL. Its a hard tag to draw though and not cheap, so I guess I'll decide if I ever draw it.