It would help to know which title(s) of game you want to do this to since logic varies a bit with each manufacturer and era.
If I understand your desire correctly (tally WOWs during the game, and reset to zero at the start of each game), then what Bingopodcast describes is essentially what you want to accomplish but I don't think it will require an extra relay. What you want to accomplish is already there in the form of the score reel reset circuitry logic:
A system to keep pulsing something until all items are a zero
A source for the pulses capable of energizing the step down solenoid.
HOWEVER, IF you have NO desire to step the wow count down individually during the loss of each ball, a simple full reset Step up counter is all that is needed and the reset pulse would come from some other source through the Coin or Start relay and the score motor switch.
If, instead, you want to use an up step/ down step style stepper unit, a bit more is required. Where the necessary additions would be are at the zero run out of the added credit (Wow Counter). You will need to parallel one of the score reel run out switches (if they are normally closed, make it one that opens at zero). This one keeps the reset process going until the WOW counter has made it to zero. And one to feed the score motor pulses to the step down solenoid itself. Some games/brands accomplish score reel reset pulses through switch stacks on a reset relay. Others get the pulses directly from a large contact on the score motor. If, as was pointed out, the contacts on the score motor are not large ones, then your best bet would be to add another set of contacts to the score reset relay (one that pulses 5 times for each score motor cycle when score reels are not at zero).
It has not been discussed if you plan to defeat any Add-A-Ball ball count step up or replay (special) function. If not, you could probably get away with simply slaving the step up function off of the same circuit. The existing circuit should already have a "step up hold until EOS has been satisfied" circuit. This will provide an adequately long "on" pulse. However, if you plan to remove the add a ball step up or credit step up function associated with the WOW feature, you will also need to provide a hold circuit (addition of a relay).
And, Bingopodcast just pointed out, you will need to add a switch to the reset or game start up function to "blind" the WOW count step up coil of any up step pulses that are sent AFTER score reels are reset but balls to play step-ups have not been completed at the start of a game. Since this is normally done following the score reel reset process on most games just before it serves the first ball.
Also, in case you are not aware, Williams made a 3 function step/up step/down unit in the era of Grand Prix for the bonus units. This unit has a normal step down function (Single step) but also has an added relay coil that can hold the ratchet open for a Full reset at the start of the game. Just in case you decide to do something a bit more exotic.