Walt:
Where are You located ?.
Your requirements calls for a different timer than the 555, A cmos divider with oscillating input that one can set for doing what you want.
The CMOS CD4060B 14 Stage Ripple-Carry Binary Counter/divider and Oscillator.
The oscillator is set to the pulse time that the valve controller needs, then it is divided by the 14 stages to reach the desired delay hold time.
It can operate from 12 volts and extremely low power.
The detector needs have a pulser to trigger a Flip-flop CD4013B that set the pulse then the CD4060 resets the CD4013 to stop the 50 millisecond pulse, then it continuous oscillating and not accepting more pulses from the switch ( though You need to think and detail why the 10 minutes, the tank may get full before the 10 minutes elapses).
The switch detector with bipolar direction needs to be formed using an exclusive Nor gate with a delay in one of the input pairs to produce the pulse triggering the CD4013B -- I do not have the Exclusive Nor part number at hand.
The 50 millisecond pulse needs to be buffered with a Power MosFet, protected with a power diode ( 1 amp or so) that is in reverse parallel with the valve controller.
Send a message to me, change anti-spam in the e-mail address.
Nando