I always imagined it as a very old track, the sort that was used with the old, non-downforce, non-slick Grand Prix cars.
Club wouldn't work very well like that, you have quite a lot of banking going on in that part. Maybe go a little bit forwards on the oval section, go into the infield and then have a tunnel under the oval? Would also make an Oval entrance point for all the truck carrying the cars for the Oval and national races :P