absolutely. there should be club events that allow for that. they should NOT be classified as Driver Education events though.
you can rent track time on almost any track. i used to do it all the time.
the problem with DE events is that it sets the stage for a very real liability problem. people try to dance around insurance company limitations by claiming it was a Driver Education session. this results in your insurance rates going up. that loophole needs to be closed. the way to do it is to require an instructor in the car at all times for true Driver Education events. smaller run groups would also help here. no passing whatsoever would be allowed.
then, for those who just want to go out and drive fast, but not actually compete, you have open session events. the participants are at their own risk for damages and injuries though. again, no passing would be allowed. this would eliminate the ego from getting involved, and competition starting. it would require more work on behalf of the organizers, as they would have to do a better job of splitting up the people into smaller groups that are more equally balanced in skill and performance.
there should be a variation of the Solo program created for large tracks. staggered starts would resolve time issues, and it would not be too tough to work through the groups. they do it now at every Solo event. that way you could drive the big track, but not have the risk of wheel to wheel. basically it would be like a qualifying lap.
i still don't understand why you wouldn't just race. the risk factor is not all that different in production class street prepared stuff. it's really not all that dicey until you get way up into the full-on race prepped classes. you would not have to worry about national points standings, if all you wanted to do was go out and run.
there is an answer. it would also allow for everybody to run their car based on how far they want to take it.
when i started racing, you got 4 days of DE. then you got the big "N" on the back of your car and off you went. there was no more DE after that. once you completed 3 races in a year, without incident, you got your racing license. we all did this in pretty much bone stock cars.
i never got close to an incident until i went full race prep. nobody wanted to bend their car, and went out of their way to avoid it. i don't see the problem