Another suggestion for Monday:
Drive over to Onion Valley (trailhead is more than 9000') and climb as far as you are comfortable up to Kearsarge Pass. You don't want to overdo it so watch your stamina. You can choose any one of a series of beautiful lakes as your turnaround point (can even get a license, bring a rod, and fish for trout). If you make it to the pass (about 5 miles each way) the views will astound you. You could actually sleep at the Onion Valley TH Sunday night (higher than the Portal), do the day hike, and then move to the Portal Monday night.
If you want to see some pictures, google or search the trip reports for me (Akichow) and "Onion Valley." I have reports from 2010 and 2012 with pics. There is also a Langley trip report that I did in 2012 with pics of the basin (mentioned in prior post).
P.S. these are all good for Friday, too. But if it were me, I'd consider a desert adventure. Death Valley touring or perhaps drive through Mojave National Preserve on your way back to Vegas. The Kelso dunes are magnificent at sunrise in Mojave, and an interesting climb. Feeling really adventurous and want more mountain? Go bag another 14er, White Mountain, if you have high clearance on your rental and the road is clear. Or do the nice loop hike through the Ancient Bristlecone Forest.