sprag clutch idea was to use an electric motor to turn the steam engine for a very short time so that it could get going. Then stop the electric motor and the clutch allows the steam engine to keep running. Only works in one direction of course. You could use the same scheme with your solenoid and lever.
I suppose you could try leaving the motor engaged, no sprag clutch, then you could have slip eccentric valve gear but you'd have to make sure you started the motor to slip the eccentric before turning the steam on, and you'd have to be sure the steam engine couldn't the overspeed the electric motor. An electric clutch would definitely be overkill