get a GPS track and find your way up. There's no trail above the snow line.
Here's Mountaineer's Route stuff from April 1 2011 - second menu link in the drop down menu top left once the page loads:
http://didnt.doit.wisc.edu/outdoor/gallery/sierra_2011spring/index.htmlSnow started below the Portal, about 3-4 feet at the store, a little less on the first part of the trail, but once on the North Fork, there was only snow. You're rarely alone on these trails and if the conditions are ok, you can follow tracks.
If you have never done it in summer and know the approximate route, it probably isn't a good idea to head up there in April.