The energy resolution of a Ge(Li) or HPGE detector won't help him with cosmic rays and scintillator, as everything he's looking at is minimum ionizing anyway. This isn't worth the expense.
I assume that the OP wants to avoid PMTs because of cost. I'm afraid that this will be hard to do. A tube is a few hundred dollars, but it's probably $2000 for a setup. You need a tube, and a preamp, and an amplifier-shaper-discriminator, and a HV source for the tube, and a LV source for the preamp, and all this adds up. (The cost for a second tube, of course, is smaller, since several of these components can be shared) Replace the tube by an APD or a silicon PMT, and you still need all the periphery. Different actual components, to be sure - for example the voltage requirements are different - but the total system cost for a one channel system is not grossly different.
Understand you are looking at very, very low levels of light here. Perhaps a hundred photons.