I think it is all about balance. Maybe try limiting exercise to 30 minutes or less. Maybe use a form of exercise that is calming like yoga. Pilates might work as well. Even a steady walk can be calming.

Select short routines and set a timer to help remind you to stop after a little while. Calm yourself down afterward with meditative breathing or something else relaxing.

There's definitely a way to make this work. It may take some trial and error. Sending support and well wishes your way!