Your best bet is an
~Autopower Roll Bar~ or something that is constructed in a very similar manner. A four point bar would be the very minimum and an extra diagonal or horizontal brace is always a good idea. You won't need a full roll cage for autocross (in fact a lot of vintage racer clubs do not require a full cage).
Don't forget to consider the shoulder harness mounts. A horizontal "harness bar" welded to the roll bar is probably the best place to mount these in a Sprite (the best position for shoulder harness mounts is at shoulder height and the mounts should <span style="text-decoration: underline">never</span> more than an inch or two below your seated shoulder height)
Typically, the roll bar needs to extend above your helmet (generally, the rule is 2" above your helmet, but some autocross clubs may be less strict on this).
The good thing about a Bugeye is that you don't have a folding top. It's easier to fit your top on even if the roll bar is a bit "high" in the car (and high is good since it offers more protection).
Depending on the car, you may still have to remove seat padding or change the seat to get yourself sufficiently low enough in the car. I had to do that in my street Miata (partly due to the fact that my roll bar has to be low enough to clear my folding top frame).
All of the above if just general info to get you started on this. I would suggest that you actually go to a local autocross and check out the cars. Talk to the drivers and club officials. It's always best to get this kind of info from the horse's mouth.
By the way, I've seen a few clubs that do not require a roll bar in open cars. I think this is a bad idea, but there are groups that allow this.