I don't have a specific prop recommendation, but I can tell you that you will not nose-over this plane.

I fly my Kadet with a Magnum .91 and a 14x8 APC prop. Do yourself a favor and ditch the wire gear and get a set of nice aluminum or Dubro main gear and a Sullivan or other (longer) nose-gear. The stock foam wheels will be fine while you are learning and beyond.

Your engine manual will have a range of props that are best suited for that engine. Honestly, as long as it does not over-rev or over-heat your engine it will be fine. Yes it's big and slow, but it's a fantastic trainer and a darn nice airplane. You can see it for miles and it lands like a feather...what more could you ask for in a trainer?

That engine is more than plenty of power....like too much power for that airframe. You could rip the wings off!!! But seriously...watch the throttle with that thing or your Kadet will land itself minus the firewall. (Consider adding triangle-stock to the firewall...there's plenty of room).

Props are very important, probably as important as tuning, but for a trainer that will be used as a trainer, maximum power is not really needed. Some props will deliver power more quickly, some will be better at vertical etc.... Just get a prop in the range that the MFG recommends and go fly!

Welcome to the end of 'free-time' and 'disposable-income' as you know them.