Did a lot of day hikes out of El Chalten around the area, really staggering place. Right out of town you're in beautiful scenery with all kinds of natural features like lakes and glaciers and spires, there's no driving or long approaches. It's a total playground. Also went to Perito Merino glacier which was nice but they're much better in a less formal setting.
I had only 2.5 days in this spectacular place, no camping gear. I hosteled in Chalten for 3 nights. One day I hiked to the Fitz Roy lookout and Torre lookouts (~45km). The next day I tried to hike into the Paso del Viento (recommend 3 days), but lost the trail at the river crossing and again on the glacier and had to turn back. I will return!