Hello,
If you don't mind adding a bit more to the drive, about 1:40 hrs+, not sure with trailer though... Try up around flat creek (off north branch road and cunningham highway), bitumen road just about the whole way and 550mtrs, just the other side of the ranges.
Camping from $22 a night, one site looked open.
Steve
Might offer a chance to book the site solo as well. It has loo's!
https://www.hipcamp.com/en-AU/queens...ize=1&adults=1