Hi, I'm trying to measure with my Rigol DS1054Z the inrush current of various electronics using a Chinese 100A / 100mV shunt. The only problem that I have is that the noise is terrible and blinds away the important measurement. If I short the prode with the GND clip, the noise is gone, if I leave all four channels disconnected, noise is gone, most of the noise is 50Hz mains...

Tip of probe shorted with GND clip
Probe is the original one, used on 1X division.

Probe in midair.

I've tried to use High Resolution Aquire mode but I feel like I'm missing some high peaks when we are talking about inrush...
The inrush you see above is a H4 12V 55W car lamp. As it seems, inrush current might be ~14.8A. (14.8mV)
For those who know those lamps better than I do, does this current make any sense to you? Again cuz of High Res I feel like I'm missing somewhat of a higher peak.

Setup
The scope is NOT EARTHED because I measure AC stuff quite often with it. Neither is the Riden power supply as my house does not have any kind of earthing system. Some of the noise comes from the SMPS inside the Riden of course...
Thank you!