+1 regarding do NOT buy an inexpensive wheel on eBay. I bought one just to try it and found it to be very, very flimsy. It was so weak that I considered it unsafe. I removed it from the car and made a wall clock out of it.
For your budget of $200, consider used wheels from Momo, Sparco, Personal, or Nardi. You are very unlikely to find a new, high-quality wheel within your budget. Be aware that you will also need an adapter hub. Hubs are sold separately from the wheel. For racing, that will probably mean a quick-release hub. To meet your budget you may want to consider getting a complete steering column from a donor Mini and welding a racing quick release hub to the shaft. Weld-on quick release hubs are much less expensive than ones meant to bolt on and mate with the existing steering column splines and taper.
An additional point to make is that there are several standard bolt patterns to mount steering wheels. The two most common patterns are the Momo pattern and the Nardi pattern. Many brands of wheels use one of those two patterns. I believe the Momo pattern has (6) M5 screws on a 70mm bolt circle while the Nardi pattern is (6) M6 screws on a 72mm bolt circle.