That's a tough question. This is the first year of the new system. Utah used to be divided into 5 regions, now it's 30 or so (sorry, don't have my proclamation on hand

)
To put in you go to
http://wildlife.utah.gov/dwr/
But it closed march 1.
In the old days (up to last year) all of the tags were drawn except in the northern region (because it sucks) and you could get a northern tag over the counter if you were there the minute they went on sale.
This year they won't release how many tags per area they have, and supposedly they are cutting the numbers.
So this year, probably not gonna happen for ya. I haven't looked but the next put in date is usually Feb 1- March 1, and the draw is usually in may.