There is year-round snow in the Park but by July all trails will be clear and dry.
Day 1: First thing in the AM get a backcountry permit at Beaver Meadows (make sure to get a car tag) and drive down to the Longs Peak TH. Hike in to Chasm Lake, have lunch. Backtrack out to the CL cutoff and hike up to the Boulderfield and camp for the night. If you have extra time in the evening jog up to Chasm View and look over the edge. This will only be about 6-7 miles but it will be very strenuous/at altitude so it will serve for a good acclimation. The trail is a superhighway and there will be a million other people so you can't get lost. The views will be mind-boggling and by early evening all the people will disappear, but you will still be up there! Sweet!
Day 2: In the morning, tag the summit of Longs via the Keyhole Rte. (some third class, but well marked and traveled - the day hikers will wake you up as they pass the Boulderfield at some ungodly hour, but you will laugh because you didn't have to get up at 3 AM), then descend down into Glacier Gorge (this bit is tricky and off-trail, but no more difficult than third class). Have lunch in GG, then hike out the GG trail until its intersection with the Loch Vale trail. Head up this and bivy at Sky Pond (no tents here but great, sheltered bivy spots). From the summit of Longs this day is almost entirely downhill - sweet! 8ish pretty hard miles.
Day 3: Sleep in, explore, then backtrack out just a little bit and then hike up towards Andrews Glacier. Ascend Andrews Glacier (20 degrees max, 0 avy danger, super easy - can be done with running shoes in perfect conditions, light crampons might be nice, an axe is almost certainly optional although trekking poles would be a good idea) to the Divide, and either head down to the Flattop Mt. Trail or, better, follow the Divide north joining up with the Flattop trail later. Spend some time exploring up there, or tag some summits. Camp somewhere up on the Divide (consider departing the Flattop Trail to the north or west) - much less people on this day - sweet! 5 to 6ish moderate miles.
Day 4: Sleep in, then descend the Flattop Trail until a junction with the trail to Fern Lake. Follow this past Fern Lake and The Pool to the Fern Lake TH. Hitchhike back to your car at the Longs TH (should be easy). Drive back up and eat dinner at Ed's Cantina in Estes or continue down and eat dinner at the Mt. Sun in Boulder - sweet! 8ish easy miles.
This route involves lots strenuous hiking at elevation (but relatively low mileage), 95% on trail/15% off trail travel, a very easy snowfield crossing (Andrews Glacier), and a few sections of 3rd class and exposure. There is a section where you will likely not see another human, and that's along the Divide above Andrews Glacier - don't know if that freaks you out or not. The section descending into Glacier Gorge (requires good route finding skills but isn't too hard). You'll need a backcountry permit for the camping. Bears shouldn't be a problem in any of these spots. Marmots during the day and wood rats at night can be an issue if your foot or sweaty belongings are unattended.
I just re-read your description where you mention you don't have a lot of experience - this particular route might not be a good idea. I'm a climber first, hiker second so sometimes I forget what people are after! Ah, Google it and see what you think for yourself. This route is cool b/c you get to summit a 14er (and do the most popular hike in RMNP), have lunch in the two most ridiculously amazing places in the Park (Chasm Lake and Glacier Gorge), and spend some time up on the Divide. The crux will be finding the route down into Glacier Gorge from the summit of Longs. Andrews Glacier is snow walking - no big deal. Other cruxes may be hiking at altitude, afternoon thunderstorms, and the mosquitos around Black Lake. Most of your time will be spent between 9000-12000'.
I've spent a ton of time up there so if you need any help with planning, just post specific questions.