A place like Mike mentioned would be fine, and if you stick to the fire road/trail to Heart Lake, you can’t possibly get lost and avalanche danger is negligible. It’s certainly not very exotic, but maybe that’s what you want. There are also nicer and more isolated locations in that same wilderness if you build up your confidence, but you can send me or Mike a private message if you want that info. (I assume this site has a messaging function.)
On the other hand, any part of Colorado has its well-traveled, safe, backcountry ski routes, and you can skin or snowshoe up one of those to a reasonable camping site. It’s just a matter of where you want to base your trip. Denver/Boulder? Steamboat? Aspen? Vail? Summit County? Crested Butte? You can also look at the 10th Mountain Division hut system for some general ideas. Obviously you shouldn’t plan to camp near a hut without a reservation, but the trails to those huts (and between them) are generally pretty well traveled, and many of them are on national forest land IIRC.
If you really want to avoid avalanches, Colorado is not the best choice. Go to Utah.