So there are a couple of ways that you can go about this. I will echo the sentiments of some others, and offer some guidance.
I am co-chairing the region for OVR Solo this year. We have done private club events in the past. In fact, we did a private event for the Viper Club this past season. We brought all of our equipment, enough workers to run the event, cones, timing equipment, etc. and all they had to do was show up and run.....obviously, there is a fee involved with that.
You are more than welcome(and encouraged) to come to an OVR event, and as Craig stated, you would have a PAX class ranking that would help with any inner forum rivalries You would just pay the event fee, run your vehicle, and that would be it. This would be good for anyone who has never done an autocross before, as there are local, regional, and national competitors that run at OVR (which some may offer help with ride alongs, or just watching other people's 'racing lines' always helps, not to mention that anyone would offer helpful advice)
PCA is another option as well. I have never run with them, so I could not comment on their events.
I am unaware of any place that will 'rent' their equipment, as it is rather expensive to have 'everything' you need to run an event. We would not rent ours.
We are in the process of finalizing our schedule, and I will report back to this thread once it's finished.
Any questions, post here, shoot me a PM, or you can email me at ovrsolo@gmail.com.
Thanks!
Kale