Could I also bias the Cathode Follower with higher voltage to lower the output impedance? I was thinking of using a tube that runs higher voltage like an e80cc to bias the cathode follower with higher voltage, but I am not sure if its safe to do that or if it sounds good.
You'll need to study datasheets that graph transconductance. The 7802 datasheet has such a graph on the final page. Note the relationship of Eb (plate voltage) to tranconductance. Also note the relationship between grid voltage and transconductance.
6c33 or 6c33c?
Same tube.
cathode followers have a gain less than 1 right?
Yes, don't worry about the gain of the cathode follower. It's always less than unity, and it's generally very close to unity.
So current lowers impedance by increasing gm.
There is a governing relatinoship that mu=gm*rp. In a cathode follower, we can throw 1 in for mu, so we get 1=gm*rp, or rp=1/gm (rp is output impednace in this case). To maximize the transconductance of something like the 7802, you would ground the cathode and have the grid at ground potential, with about 100V on the plate, to get 30,000umhos of transconductance. Unfortunately, if you do this, the tube will very likely draw a bit of grid current, and you'd have to have a very beefy circuit to drive the tube running in this manner. (you'd need another cathode follower behind such a circuit to handle the grid current/impedance demands)
Without those helpful curves, you can look at the simple current/voltage graph with lines based on grid voltage and seek to pick an operating point where the lines are as steep as possible.
I think the sensible approach for me would be to increase the current in the cathode follower on my 7802 tube. I don't mind losing gain or power since I can barely turn the pot past 25% before it gets too loud. Not sure how to do this though, is it more complicated than changing a resistor?
Again, you can't just increase the current in the output stage of the Crack-a-two-a without a major redesign, which means starting over. If you're going to start over, there are much better tubes than the 7802 to achieve your goal. Also, increasing the cathode follower current will not affect gain, but you may end up inadvertently adjusting the grid bias the point where you get very early clipping of the first stage.