If you are tlking about the north east leagues then you won’t need to worry about thorns. Pinch flats occasionally but most of the courses are muddy and rooty with few if any rocks. Didn’t get a single puncture last year running maxxis raze, 40psi and standard cx tubes.
Guys run everything from narrow mountainbike tyres to deep section carbon with tubs.
I’d recommend running some tyres with cx tubes in for a few races. If you are new to this you might not find your tyre and tube choice to be a limiting factor this season.