You've picked three very disconnected parks. Any reason that you wouldn't do more around the same area?
That time of year Badlands is out. Driving all that distance just to do Badlands?
Glen Canyon is nice to see but unless you rent a big boat there isn't that much to do except Antelope Canyon tour.
Bryce will be cold that early.
If you haven't been, I'd recommend Grand Canyon South Rim and Zion.
Arches NP would be another nice park for that time of year but check when the Jeep Jamboree is this year as it will be busy. From Arches you can check out Canyonlands and Monument Valley.
How much time do you have for the trip?
Lots of choices!
