You actually have lots of options based on the trailheads report -
http://www.yosemiteconservancystore.com ... dDates.htmI am with everyone else, it is going to be difficult at best to get away from any crowds with just a couple of days. It's Yosemite, what you are looking for doesn't exist. If it did, the Yogi Berra's famous words come into play - No one goes there anymore, it's too crowded.....
However having said that there are several options.
Ten Lakes is still currently an option. A lot of lakes, but you are going up some fairly steep territory in the beginning. Many, many places to explore and a ton of fishing. You won't be alone, but people are spread out over the area.
Murphy Creek is an easy hike and you can camp at Polly Dome Lakes. You can day hike to May Lake/Mt Hoffman, or if June, head down to Glen Aulin/LeConte Falls. After June, the Toulumne River will be way down and be Ok, but not great.
Mono/Parker Pass - Again not a short hike and camping in the area can be dicey, as you progress towards Koip Peak, it gets very rocky. You need to get past Parker Pass to camp, but on the left as you progress there a few lakes(no fishing) for a water source. You can then day hike to Koip Peak with crazy views of the southern Sierra, and if you are really, really observant, explore a dead mine and tailings that very few have ever seen.
Ostrander off of Glacier Point Rd is an option, but it can be a tough hike, short but has some steep climbs. From Ostrander, which is a gorgeous lake, you can follow the orange signs out to Horizion Ridge and get some really spectacular views of the Cathedral Range.
Young Lakes via the Glen Aulin trail going in still has some steep spots but much gentler than going in via Dog Lake. Once at the top, and on a very large flat area with the first lake to your right, go left out to the edge and you should find camping with huge view of Mt Conness and gorgeous distant views of the Sierra. A little research will give you information on getting to the top of Ragged Peak which gives you some BIG views for a fairly easy effort. Head out via Dog Lake, as the views are incredible. Going in Dog Lake has one ugly climb and then a steady climb that takes you above the lakes area and then drops you down into Young Lakes proper.
May Lake - going totally against the grain of no people, this is a nice spot, a very, very easy hike to the campground at the High Sierra camp. Camping in the surrounding area is not allowed due to the impact, so you will be in a psuedo campground. But you have gorgeous views of the lake and Mt. Hoffman. You can hike to the top of Hoffman, and down to Glen Aulin. You can go up on the ridge behind the High Sierra camp and get a an incredible view of the Sierra. I have two panoramas from that area that I have put over my phone in my office, so everytime I pick up my phone. I am looking out at those views. Another option at May Lake is to purchase meals at the high Sierra camp. The breakfast and dinners are incredible. It should be done in advance
Again, none of these are easy hike, except may Lake and all have some form of people close by.