1) UT McConkie Ranch Petroglyphs
2) UT Moonshine arch TH
3) Dinosaur Tracks
4) Little Brush Creek Cave
And there is a good road that runs, I think, east of DNM, to the river passing an interesting cave and ending on the river with a good walk along the river and some interesting views along it. For what ever reason I don't have it on my list but maybe it's that little brush creek cave.
DNP have been re-done and you have to park and take the shuttle now to the field house. There used to be some other roads thru the NM but I don't know what their status is now.
Here it is:
Echo park whicpering cave'
Oh and Flamming Gorge is great but a ways off of DNM, we boondocked there 4 days last year. Do the geology drive at the south end if you go.