When we did this, we had 2 cars so we didn't have to worry about a shuttle, so I can't help you with that. But here are a few things to consider:
1) I see you're coming from Florida. Will you have any days to acclimate to the altitude before starting? Depending on how far you go your first day, you'll get quite high, perhaps up to 11,500. My husband and I had already been doing dayhikes in CO for a week, so the altitude wasn't a problem for us, but the other part of our group flew one day and started hiking the next day. One person really struggled with the altitude and was sick enough that they exited early. (We would have stayed with them, but they were a group of 3 and convinced us - after much difficult discussion - that it would be easier for 3 to catch a ride than 5.) Anyway, as soon as they got lower, he was fine.
2) If you have time and energy, you might want to head up to Tuhare Lakes. We were there too early in the season to get all the way up to the bigger/higher lake (too much snow that we didn't have the confidence and experience to cross), but we came close and really enjoyed that scenery.
3) Are you planning to do the Missouri Lakes loop? We didn't, but when we got to the turn-off for Missouri Lakes, we stashed our packs and went down to explore some of the lakes. They are so beautiful. Then we retraced our steps and had to go all the way back up, but it was worth it.
I just looked at my pics from that trip - so fun after not looking at them in a long time! The photos reminded me that when we camped at Fancy Lake, we went behind our site for sunset and saw beautiful sky and mountains way off in the distance. I didn't use the PeakFinder app back then, but I had looked at a map and was pretty sure we had seen Breckenridge, Quandary, Pacific, Atlantic, etc. Great scenery!