http://wyoparks.state.wy.us/pdf/CurtGowdyTrailMap.pdf
The mileage isn't that bad. Like I said earlier, we did both sides in the same day. A lot more of the lower res section is in the sun and exposed. There's more riding in the trees on the mountain trail section. You can get a lot of really fun and a variety of riding in while you're at Gowdy. I know you said you wanted to ride less techy trails, but I'd highly recommend trying some stuff out. It's a good place to practice, and you're never too far from the road if anything did happen. You'd be missing some of the best parts of the park if you bypass the techy trails. Worst case scenario you walk some stuff, no big deal.
This is a fun route, but I like the techy stuff:
I'd recommend going counter-clockwise on Stone Temple up to Ignoramus/Rock N Roller, back to Stone Temple, over to Albert's Alley, to Mo' Rocka, then do the Skin & Bones loop to play area and back. The expert play area down here is fun if anyone you ride with is a strong technical rider, but it's not so fun to hike back out of it.

Take Mo' Rocka back to Sammy's Slide to Pinball and then Stone Temple back to where you started.
For the lower res trails, I'd suggest Granite Ridge to Mahogany, to Canyons, take a left to Middle Kingdom and go up and back down that right dogleg section on the map clockwise (avoid the free ride play area unless you have serious balls), to Crystal Ridge, to Twin Lakes to Cliff Hanger. From here ask yourself how you're feeling. If you are feeling good, take a right on Canyons and do an out and back towards Blue's Cruz/Highline/etc. If you did both sections in the same day or you're running out of daylight, you might feel like heading back, so take the Canyons red side back (get read for a ton of little switchbacks to climb up and out) and connect with Shoreline. It's a paltry trail, but it's got some good views of the reservoir and is very pretty to ride back on if you catch it during sunset. It literally hugs the shoreline for the whole way back.
I don't remember all the hike a bike they're talking about on Granite Ridge/Crystal Ridge (plus that's all rated green/blue) and I just rode this a month ago. I remember a few spots, but nothing all that bad.