If you're talking non-resident, the OIL sheep tags are all random draw anyway since they only give out one tag per unit. I'm not sure if one of the desert sheep units gave out two this year, but that still leaves a random tag in each, with extremely few tags.
Perhaps a good question would be, 'which of these tags could be purchased for the least expensive price at auction?' If a guy truly wanted to hunt one of them, that's the way to go.