I agree with Just Dave - if funds are tight, don't put any more money into the car. Just use it as is - forget about being competitive right now and just learn how to
drive it. Get a season under your belt and then make decisions.
I have limited autocross experience (from 20 years ago), so take this for what it's worth.
- '71 Super Beetle Convertible
- Mild 2017 engine (same engine - with changes - that's still in my '67)
- Lowered 2 inches (all around), 205/50s on the rear, 195/50s on the front
- 7/8 inch front sway bar, 3/4 inch rear
- adjustable coil overs in the rear, uprated struts in front + higher spring rate on front strut coils
- 3.88 R&P with stock gears
I agree with the above post that Super Beetles are a great handling car, but more so for high speed track use. My gut tells me that a swing axle would be a better autocross car, especially in stock class. Why? The biggest problem in an autocross is understeer and weight transfer (as Tom noted), and swing axle cars allow you to "steer with the rear" and get you through the corners faster (with practice), getting the power down sooner. Point and shoot.
PLUS swing axle cars weigh quite a bit less than Super Beetles, which you really notice (along with the shorter gears in a swing axle).
For example, my '67 Cal-Look Bug handles
really well, even with useless 135s on the front and skinny 175s on the rear. The only modifications are: 2.5 inch lowered front spindles, NOS Koni shocks front and rear and an original EMPI camber compensator. To be clear, it is much more nervous at the limit - not for the faint of heart - but that is an asset in most short, tight autocross courses, IMHO. And with less weight and shorter gears it really rockets out of the corners.
If you enjoy it, and want to be competitive, I would later try for stock class. Get rid of those giant, boat-anchor rims, which kill your acceleration. A smaller 15 inch rim with low profile tires makes a huge difference. They also effectively lower your overall gear ratio, which is a real asset on an autocross course. Koni shocks painted to look stock (they were, in fact, a dealer option if the buyer wanted Heavy Duty shocks, and I believe were painted grey). Take as much weight out of the car as you can. Focus on being smooooooth - momentum, momentum, momentum! And practice.
Read 356 autocross posts as well, as the cars are very similar.
Plus, as Gene Berg was famous for saying, if you get beat, who cares, you're driving a Beetle. But if you beat someone, "Dude, you just got your ass whopped by a Beetle!"
MAKE SURE that you are running a deep sump, or you will write-off bearings (don't ask)!

My 1.5 cents.
John
P.S. I don't have any photos of me autocrossing my '71 Super, but the attached photo is of the original owner autocrossing my '71 911. I had a chance to do a couple of fun laps at Lime Rock this Fall, and the car is bone stock (down to the nerdy 185/70 XWXs and "S" suspension). A lot of the cars were modified, but I promise you that they weren't having
any more fun than I was. Plus, with skinny tires I get to saw back and forth with the giant steering wheel and feel like Fangio!
I've also attached a photo of the original owner autocrossing his factory hill climb Porsche 356 Speedster way back in the day.