I would have thought if you ran something like a Global GT that is already set up well, by yourself, with the odd test, camped at the track, and 2-3 sets of tyres a year you could run for what £6-7k?? or is that totally un-realistic??
Similar or slightly less for RGB series maybe? I think the RGB forum have a few cars for sale and they would be set up and run well already.
From the sounds of it getting the engine set up well is the trick. RGB series has been going for 10years + and people running bike engined cars for a lot longer so there should be plenty of people to ask for advice.
Also there are plenty of RGB racers blogs, (search google for that) and you read up on and get a feel for building /working on a car.
I would love to race in Bikesports but, for me, 10k is alot of money. You do get plenty of race action but I need to wait to race something