I added more holes in the 4" down-pipe, at the same level, to increase flow and reduce the vacuum in the garbage can. It worked to some extent. Now the garbage can pulses like a beating heart, about two pulses per second. But it has good air flow at the hood.
The shop vac can take two filters inside, one cylinder shaped going into the impeller opening, and one bag type which feeds directly from the hose inlet and wraps around the inside of the vac. I put them both in.
I already had some holes drilled in the hood door, but now the air flow is more than with the 5" computer fan I used before, so I had to drill some more holes.
I ran it for 15 minutes and the motor fan outlet temperature was steady at 115 degrees.
I also put the box it came in over it to decrease the noise. I cut holes for the vac hose and power cord on one side, a hole for the motor fan outlet on the top and an opening for its inlet on the bottom, plus a hole for the vac blow outlet.
I ran it for two hours. Within the first couple of minutes the motor fan outlet went up to 110 degrees, and it stayed there the whole two hours just fine. I guess the box lowered the temperature by not allowing sunlight directly on the vac. (Air temperature was 74 degrees.)
Soon after I started the two hour run, the garbage can caved-in a bit, but the lid stayed sealed, so it worked for the two hours.
I need to drill yet more holes in the hood door, because there is still too much vacuum inside the hood (I noticed that when I had the door ajar a little, it sucked the fumes better). This should also help the can vacuum situation a little bit.
Now I need to install a 2" pipe that will take it up above the roof line.
I cooked some A/R at 190 degrees in there, and could smell it a little coming out of the vac blow hole, but it's nothing like when I used to cook it out in the open. Once it gets piped up above, and has a chance to dissipate, I don't think it will be a problem at all.