What is a good spot to set up a mini base camp in Yosemite with a bunch of climbing near by?

Going to Yosemite in August for 10 days of climbing. Since we will have a ton of gear I do not want to backpack for 40 miles, so I'm looking for something with a relatively short approach. I clim trad 5.7-5.9 range and need to find a good spot with a TON of moderate climbing, any suggestions?

From just about anywhere in the Valley, you can walk in any direction for 1-20 minutes, and run into climbing. The Valley IS a base camp. Tuolumne is more spread out, but still loaded with climbing. You'll need to stay in designated camp sites, unless you get a wilderness permit. This time of year, you get a maximum of 7 days in the Valley proper.