Super series can run all kinds of strings. Is it a four or five string Super J?
B strings get a little tricky because there isn't much room between nut and tuner. If you have questions, Jason would know the answer, and he's super helpful with custom orders.
Payson now has strings made for the Super series. Very nice strings. Payson was kind enough to do custom sets for me, but I asked real nice. Super pretty please.
TI jazz flats 345 will work, but it'll take some setup as the B and E aren't tapered at the ball end. Saddle cap head screws are easy to find at the hardware store if you need shorter for lower action at the bridge.
I love the DR Pure Blues Victor Wooten .040 set. Nickel rounds. I've run DR lowrider, Hellborgs with an added B or an added C. I really liked the Super J strung E-C. I just had the GHS Boomers .030 set on my Super P. Lots of fun with that set up.
For super super light, I've been running standard tuning E-G with A-C strings (75, 55,40,30) Pure Blues, or Low Riders, or whatever else I have on my shelf. I started the experiment with used sets plus C strings, so it was inexpensive to play around with the concept. Now that I'm sure about it I have new sets coming in.
No problems with the truss rod adjustments and getting a super straight and low action is a breeze. So far, no problems with open string rattles at the nut or nut height either.
Of course, YMMV...