Hello there,
I'm running a 72x24x24 with a 48x18x20 sump. Water is fed to sump through two 2" overflow pipes. If it's bioload you're worrying about, definitely a sump with a 1:4 or 1:3 ratio with fully cycled, and adequate in volume filter media (there is no standard sizing guideline for this, as far as I'm aware) should do the trick.
You should be good with a 125G sump, but bigger is always better (make sure to account for overflow!)
I would also like to share my experience with my sump's design; while the possibilities for biofiltration are tremendously flexible; (for example, I run 24 liters of pond matrix on the 2nd chamber of my sump, after all the mechanical filtration media, which I know for a fact is overkill but it's my tank after all.) you would have to calculate a surplus amount of biomedia to use in order to ensure good ammonia and nitrite reduction, as based on my experience, they populated the fine mechanical filtration first, before actual biomedia (it takes time, even with a forced cycle i.e. using bacteria in a bottle)
The downside of a sump for me, is if you have minimal to no water movement inside the tank, i.e. your return is just in one place; in my experience with a spray bar that runs the full length of the aquarium and a pump rated for 1920 GPH, with 4 ft. of head pressure = 1600 GPH, and a tank turnover rate of 6.27x per hour, i get sitting fish waste. I am now running an Eheim 2217 subfilter + canister filter in order to alleviate the siphoning of fish waste. Subfilter is filled with mechanical media, while the can is filled with another 4L of pond matrix. I am thinking of getting a wave maker right now to just push the waste to the other side of the tank, in addition to getting another 2217 subfilter + 2217 can, which I would put on the same side of the tank that the current setup is running on, and where I plan to point the wavemaker to push the waste to. I could probably go 3 months without a WC or canister cleaning, and my nitrates won't go higher than 100 ppm; but that's just bad fishkeeping, besides the fact that WC help regulate growth inhibiting hormones of bichirs.
Please keep us updated on your final build that you would execute.
HFK.