Uhhh, (Kleinstein showing good advice, there).
Uh, but I'm wondering, every little detail, here, is getting 'pumped up'...(oh and there's a bunch of smoke, coming off it...), ...Things like that.
My suggestion / question:
For Ball-Park type measuring, what about, just a simple DMM
I mean, who cares, if your 6.8 mA shows as, 6.5 ma ?
You are using a waveform display, for a supply current,
and wouldn't a simple capacitor aid that METER readings ? (If the +supply is following the load too much). And by the way: A hand-held DMM IS going to be a 'differential' style voltage reading.
On that vein, you 'touch' on ground loops, then it's OFF to 'another' mystery.
You've got ADD, worse, even, than me...
But I can be a sour-mouth, so apologies there.
Um, maybe Klienstein's advice would be good to focus. JUST SEE, if you can point to, like 3 essential questions/issues. Way too confused to start building a 'special probe /amplifier'.
I think you need an isolated, inner ground plane, plus
a double-sheild coax...No, TRIPLE SHIELDED.