Maybe there is room to use the standard molex mini-fit connectors used by video cards?
Being mass produced headers, you can buy them cheap, and you can also buy the connectors cheap, same for crimping tools.
For example use a pci-e 6 or 8 pin connector, either right angle or straight up ... you have 3 awg18/awg16 pairs of wires for low voltage drop and contact resistance, and you can get mass produced 6/8 pin pci-e extensions cables or make your own.
example:
https://www.digikey.com/en/products/detail/molex/0455580003/3311349Could have two side by side and thick traces connecting each row for "pass through" ... first is input, second is output ... or the other way around ...