Hi Jason,
Hope your week of travel is pleasure related but if not may the project go smoothly.
OK, your CJ preamp specs as having 22dB of gain. That's pretty high, most linestages have 16 - 18 dB of gain. Your Parasound power amp has ~28dB of gain (by calculation), a bit high but manageable. I took a look at the manual and one question comes to mind, are you using XLR (balanced) interconnect cables? If so you could try RCA cable which should lower gain 3 - 4 dB. If you are using RCA cables already are they unshielded? You might try a sheilded cable to see if that reduces the hiss.
Bottom line is I now believe you may have too much gain and changing tubes will not make much difference. One alternative would be to use inline attenuators on the interconnects between the preamp and amp. I own a set of the Rothwells which lower gain by 10 dB and are completely transparent.
Regarding the volume references of 10 to 35, how high will it go? If it goes to 99 then you are not getting good use of the control.
Have a great week and look forward to hearing from you when you get back.
Best Regards,
Jake