I would just like to give an update my testing.
I created 3 test bricks of 3 different ratios.
#1 - 75/25 refractory to perlite
#2 - 50/50 refractory to perlite
#3 - 25/75 refractory to perlite
#1 was extremely strong and had the most mass. In the mold I used, this mix ended up to be 1.5" thick. I couldn't break it by setting the brick half way over the edge of the table and using all my weight (230#) to break the brick.
#2 was strong and ended up 1.25" thick. I was able to break this brick using the method above. But I had to put all my weight on the brick.
#3 was weak and ended up 1" thick. I was able to break the brick in half with my bare hands without much effort. I also used too much water in this mix so there was a thin layer of refractory settled on the bottom of the brick.
My original plan was to cast the base and riser tube as one unit. But after doing some general estimating, I think the entire mass will be too heavy. So I will cast them separately.
For the riser, I plan on using a 40/60 refractory/perlite mix. For the base (wood feed and burn chamber) I plan on using a variation of 25/75 to 75/25 refractory to perlite mix in the different zones of the base.