It's possible, feasible, and advisable. I'll be honest, I'm biased on RFTs. They're expensive, noisey, overly hard/harsh due to the necessary sidewall constuction, and difficult in many cases to repair. A good set of
real tires belongs on a car like the Z.
As far as tire issues, get a tire-fix kit/pump (
like this one) and a tire plug repair kit. The "M" version comes with a tire sealing goop and a little cig lighter plug in pump. Many of us supplement that with a tire plug kit (Google "tire plug kit").
As for tire options themselves, it depends on your needs (performance, all-season needs, weather/location). In your case you might do well with an good summer performance tire for the warmer parts of the year and snow oriented for winter. Conti DWS might be worth looking at as you could run the DWS year round if you want one set. If you don't plan to run in snow/cold/winter, and plan on driving hard or doing autoX or tracking, then car a more performance oriented tire would be indicated.
What are your needs/goals for this car/tires?