How to route current for ATE?
While you could look for analog mux's and switches, not many go into that range. Why not use relays? Relays support both wide voltage ranges and high currents. 

Analog mux's have a varying resistance which may not sit well for your testing.

Relays have what is to be considered constant resistance and it's low usually under 1ohm.

Search for relays or SSR's at your favorite distributor.