Wow-that's awesome, those are some impressive tags to draw. Over how many years?Late to the party…
No not residents do not have a reasonable chance of drawing sheep, goat, moose tags.
BUT, neither do residents.
If you want to hunt them DIY or for a reasonable rate, you are going to have to try and draw a tag.
Odds are horrible but it can be done. I killed a great moose in the Yukon a long time ago and have no interest in a little Shiras so I concentrate on sheep. I’ve drawn a CO Rocky and an AZ Desert. Along the way I’ve drawn a UT mountain goat and a September AK Musk Ox, both of which I did DIY and that meant the world to me.
If you have piles of money, just going on hunts is easy. I do not have that luxury.