We camped on the river and climbed the park's most famous hike, The Narrows, which you must hike up the Virgin River. In the cold water. Against the current. And yes, you do need a walking stick as much as everyone says you do. Don't worry too much, this hike is choose-your-own-adventure style: you can turn back at any point you get tired, there's not really a stopping point, unless you plan on staying overnight (and you need a special permit to do that). Plus, the cold water feels so nice in the dry heat.
Because of soaring temperatures (100+ degrees-Fahrenheit), we skipped Angel's Landing on this trip. We did the Emerald Pools hike (quite easy and highly recommend it if you're after some shade) and rode horses that day instead. The next time I visit Zion, I hope to make it to the top of Angel's Landing as well as explore the Kolob Canyons section of the park.