Just remove the hand pump and replace it with a pressure pump that can handle the temperature. I might suggest an air powered diaphragm pump.
I swapped my original bronze gear pump to an air diaphragm pump. If you do that, one of the smaller pumps designed to work with 200F + temps is fine, then just hook it to an air compressor.
I got a 3/8" pump and ran a 1" silicone supply hose to it, but I think a 1/4" pump would have been fine. I filter up to 6 gal at a time and often repeat to work thru 30 or more gal at a time. That is on a 7" 5 bank filter press. If your filter is a 5" you will be able to do maybe 1/2 on a batch . When the hollow plates are full you will be done. You will want a way to regulate the pressure, I do it by having a by pass back to the source (my hot syrup mixed with DE). I just watch the pressure gauge and as it climbs close to 40 PSI I slowly open the bypass and hold it there, if the pressure climbs more, I open the bypass more.
Even a small compressor will work, I use a small pancake compressor, set the regulator to about 60psi and then regulate it by using the bypass.
Dave Klish, I recently bought a 2x6 wood fired evaporator from A&A Sheet Metal which I will be converting to oil fired
Now have solar, 2x6 finish pan, 5 bank 7x7 filter press, large water jacketed bottler, and tankless water heater.
Recently bought another Gingerich RO, this one was a 125, but a second membrane was added thus is a 250, like I had.
After running a 2x3, a 2x6, 3x8 tapping from 79 taps up to 1320 all woodfired, now I'm going to a 2x6 oil fired and a 200-425 taps.