In Utah I would suggest you start or continue getting points for yourself and when your son is old enough put in together and the points will be averaged for both of you. It is a long shot. Other good option now is the mentor program. Where he could hunt off your tag together.
I found out that in Arizona he must be 10. I guess he still is just a little to young. I will start getting him points just as soon as I can. I'm 36 and what I wouldn't give to be sitting on 20 plus points for Arizona and Utah!
My friend shared if you put in for all the states to get points and ones you have to buy out of state hunting licenses to get points you are close to $10,000. Yes get some back but not us average hunters can do that and his son just starting out with work couldn't afford to do that.
So he told his son save your money you would put in and every three or four years you can afford to book a hunt in Canada. He told his son he would get to do more hunting that way since he was way behind the top points in states and would have to wait decades before even having a chance to draw in most states. He then said hunt all you can in your own state.
Sad but it looks to be going this way. I get points for my seventeen and fourteen year olds and they are way behind in Utah, Arizona, Colorado, and not as far behind in Wyoming.
There's just something about the idea of hunting those big bulls in Utah and Arizona that drives me crazy. I hope my son will continue to enjoy the outdoors as much as I do.
OR has "mentored youth" program where a son/daughter hunts on dad/mom's tag. I would look into both of those states to start.