I tried running again today, and it felt good ! Yay! I need to remember to take it easier tomorrow. Meanwhile, here's what I did today:
1) Rode 11.13 miles (65 min) on the recumbent bike, when it stopped at the max time "allowed." I restarted it immediately, and rode 3.58 more miles (20 min).
2) Ran 0.55 mile (7 min) on the treadmill
3) Walked 1.45 miles (25 min) on the treadmill
4) Ran 0.56 mile (7:06 min) on the treadmill
I'm logging this several miles after finishing the workout, and am muscle-sore, but the right hip issues are nothing to speak of. I hope that sticks! :)