I'm not a fan of such general requests for information as my subject title, but I'm hoping to get enough of a kickstart with responses to turn this into a rewarding experience for my daughter. I'm not very familiar with Colorado hiking, having only done some day hiking there years ago, but I am an experienced outdoorsman in a wide range of environments, conditions, and elevations. I'm open to any Colorado-specific information (i.e. be aware of the typical afternoon storms) or trip suggestions based on my summary below.
My 14-yr old daughter and I are going to be at a family reunion near Breckenridge in mid-July for a few days. (Helpful for acclimitization.) We are planning to stay in Colorado for a few extra days afterward to experience some of the great Colorado outdoors. We will have a car, and may have to make a drop off at DIA before we journey out, so the specific location is not important, as long as it is roughly within 4-5 hours of Denver (or closer).
Our general intent is to attempt at least one 14-er and get in at least one good 3rd class scramble. Bonus if they can happen at the same time. A scenic approach would be ideal, as the hike in and out will be part of the overall experience. We'll have backpacking gear, so we can hike in and camp overnight to reach the objective. I think I'd like to limit the overall distance traveled on foot to <25 miles. Less distance is probably better. Elevation gain on the objective should probably be limited to <7500 ft, but I suspect that allows most of the options in Colorado, no?
We'll either be able to leave Breckenridge late morning on Sunday, or else leave DIA early afternoon. We'll want to return to the Denver area by Tuesday night or Wednesday morning. A little night hiking along the way would be fine (i.e. Sunday night), as long as there is not significant exposure.