I think I would start with a new foot switch; one that is SPDT rather than just break on push and make on release. Here's a nice one I found on eBay but you should choose one that you like. Just make sure that it is SPDT. The number is:
372481311689
With contacts in both the pressed and released positions, an SPDT will help with triggering both cycles. And while you're on eBay, consider once again the item mentioned previously; the timer relay board. The off-delay-on is what you want for that brief drop of power to the tracks.
If @stan2004 has a better way to do this (and he often does), you may want to wait a bit before committing to any purchases. If you like the foot switch that you have already, we can probably figure out something for that as well.
