Considering that you are in Sandy and new to the area I would suggest that the Bear River units, in particular Unit 75, have a good success rate and are close to you so you can day trip (more or less) and scout. That is some beautiful country up around Bear Lake. First double check and make sure it is a public lands unit. There were only about 600 hunters in the unit and they had a good success rate.
You can go up on the Idaho Fish and Game website and check the success rates of other units. I hunt in the Salmon unit. Of that Unit, the #36 has a low success rate but the others are such that a reasonably decent hunter will kill an elk.
One of the good things about Idaho is you can change your unit right up until the season opens. If you buy a nonresident deer tag you can use it to shoot a bear or mountian lion if you should see one. Of course once you use it, it is used up.
It helps if you actually know how to hunt elk. If you don't know how to hunt elk then PM me or go up on the "How to Hunt" section and ask. I am no great expert but I don't mind typing and helping you along. I hunt my way but I know how to hunt the normal way and if I get in the mood to spill elk blood I can but I don't get a big thrill just from killing much any more.
The Smokin Fur Rifle Club