Jeff, Yosemite is a must see if you're out here, and you have that covered. Swamp Lake is a pretty trail, with nice foregrounds and vistas, and a very nice camping spot next to Grouse Lake. Swamp can be run easily in a day with a well set up couple of rigs, I've run it twice in a day with a big group, and even though I don't like doing it that way, it can be done in a day. In your rig, if you were by yourself, it would be two easy days on the trail if you camped in the middle at Grouse Lake. When we have about 20 rigs, we usually get to the lake by mid afternoon and we're not hurrying. I know we say not to run trails by yourself, but with your set up, and if you did a thorough inspection after running Barrett, I'd say go ahead and run it yourself if you don't get any takers. You'll have all your gear if something happened, and you'd just have to wait until someone comes through, which wouldn't be too long since it's summertime and people are running the trail.
You could run Red Lake/Coyote Lake, and Coyote is as pretty a lake as you'll find, but the trail is all foregrounds, it doesn't have the vistas that Swamp has. They're short trails, trailhead is an hour from the highway, then an hour (with a small group) to Red Lake and then another hour to Coyote Lake, then back track to get out. It's a similar trail to Barrett Lake, with similar scenery.
Just for info, from Yosemite Valley to Fresno is about 1.5 hours, and from Fresno to Dinkey Creek (camping for Swamp Lake) is a little over an hour, and from Dinkey to the Swamp Lake trailhead is about an hour, then it's about 6 miles in to the lake.
Keep in mind that it's damn nice to drive higher in the Sierra's in Yosemite to Tuolomne Meadows, which is true high Sierras, and then go over Tioga Pass (which is breathtaking) and on to Mammoth and Devil's Postpile, and the Long Valley places that were already mentioned. You have a lot of great choices, and none of them are bad. I've been knocking around the Sierras for many years and there are plenty of great places I haven't seen yet. If you wanted to wait until Rubicon to decide for sure, we can go over maps and talk there. The Sierras have there own look, different from other places because of the dramatic granite and the extreme errosion caused by the glaciers.....you'll love it.