There are parts that are not part of the NPS, and look great.
Parts of route 89A is not part of any NPS,NF,NRA. South side is wide open, North is wonderful view of the Marble Canyon with a straight road for miles.
Check these coordinates: 36 42' 2"N, 111 56' 52"W Not precisely here, but that's the long straight part of 89A that's not part of any park and its wide open.
Also check Airmap for NFZ boundaries, the parks are included nicely.
Also route 89 has 2 blocks that are quite big, that are not part of any park. Not as nice as 89A.
People still fly everywhere. I was there in september and popular spots in both yosemite and grand canyon had multiple people flying from the top of the mountains(Glacier Point,Half Dome), or at the horseshoe bend. In the 10 days I've spent there I've seen 0 park rangers, not alone anybody saying anything to these people, even though there were No Drone Zone signs posted at every location.