[jessaustin]

It would take someone more skilled than I, or with better tools, to check current in a fuse box without removing fuses. Maybe I should watch that guy and get better...

[gridspy]

You measure the voltage across the fuse. Then you look up the fuse's resistance in a datasheet. Current is Voltage / Resistance.

[MaKey]

AFAIK the fuses have contact points you can use to measure the current.

[cwillu]

You can check continuity across the contact points, but measuring a 75mA current via the voltage drop across a 0.0034ohm resistance (give or take) means reading 0.2mV, which is… borderline for a consumer multimeter.

[pvaldes]

A multimeter is cheap and really easy to use. This is the safest way also