Today I looked around and found a solenoid made by Solen, and it had a spring for the plunger and a plastic end cap as well on the plunger, good for kicking with, so I wired it up straight to 24 volts just to check it out. When this kind actuates it pulls the plunger in, and when power is released the spring will provide the kick out.
The particular spring I have, I don't think is meant for this solenoid, it's a bit too much force, so I found I had to help push in the plunger until it has less than 10mm to go, then it sucks in with a great force finally (I think it's also not the proper plunger but it's all I have for experimenting).
So I held the solenoid above my desk (wood) with power off, and pushed it towards the desk, compressing the spring until there was about 10mm to go in the plunger travel towards pull-in, so the plastic end cap is making contact with the desk at this point and the spring has tension.
I gave it power and the plunger sucked in, then I let power go and the plunger kicked the desk with an ok impact noise. I don't know how it would work with a cabinet environment, and ambient game noise, if a stronger solenoid would be needed or several smaller ones like this one, but it is also impacted by what the kicker is hitting. WHen I tried a more solid 1" wood target, it was more of a little click noise of course, but with the other table, it was ok for a first try.
Either way it's the concept we're looking to validate and when I'm ready I can use it to do the Qbert tryouts.
Being a 24volt solenoid, I tried at 12 volts just for the hell of it. It was pitiful. If you want to use a solenoid you have to give it the proper voltage it needs for sure, and a few amps. There's no way around it. I'm using a lab power supply that can put out up to 30volts and 6 amps and I have it set for 24v for this.