Best pizza around and where all the climbers stay...
So you'll have wheels. Good, that frees you up. If you haven't been there before, I'd definitely recommend hiking over the fishing. Trout fishing there can be nice, but not spectacular. Plenty of places in Va for spectacular trout fishing.
OTOH, the hiking can be spectacular there, especially in late April when the trees are just starting to come into leaf but not so much you can't see the rock formations, and wildflowers are just starting to bloom in a warm Spring. The clifflines, rockshelters, and arches are something you need to see.
I'll try to get some topos of some hikes posted. What kind of time frame are you looking at? That will give me some structure for ideas, but for starters the Auxier Ridge loop with a side trip to Double Arch is awesome. Also, the Gray's Arch, Rough Trail, and Pinch-em-tight loop is another favorite. Or, hike up to the Indian Staircase. There are lots of shorter trails to some great views or formations or both if you needed to be flexible or get done with a longer hike early.
You can get a crappy hand-drawn trail map for free at many of the businesses there (I'm sure Miguel's has something), but I'd recommend the official RRG topo trail map sold at the Gladie Visitor Center by the Forest Service. Definitely worth it.