LOL, I get you. Sounds like a neat project. I think you are planing to use dedicated controls for each Mame and golden tee and not sharing these controls? So the only thing you need to do is to have a switch to toggle inputs to the monitor? I know they make such a thing for computer monitors, maybe you could get that to work for you some how.
The only problem I can see is that the d9200 has a different video connector moved for changing from VGA to cga/ega. This is not the video input from the game board, but the connector from the small video/sync interface bd to the large deflection board. Since you don't want to run GT at low res, and switching from ega to VGA you move connectors. I would say to run Mame in ega, the same res as golden tee. Arcade VGA v.2 says it can run in ega. Look here in the FAQ:
http://www.ultimarc.com/avgafaq.htmlThese are just thoughts of mine, hopfully someone else will read this and see if I am on the right track. I have both golden tee complete and a Mame among others, but I have no wife yet