What about sequence mode triggering ? I haven't tried it yet, but I think it stores a screen capture for each triggering event. Isn't it like taking a bunch of single captures and storing each one, at least until the memory fills up. IDK if that would get past the noise tho.
I need to try that myself on a few signals, and see what happens. For a clean signal, like say a 1kHz square wave, that also turns on/off at say 10Hz, I thinking in sequence mode, I could set the timebase to see the 1kHz easily, and end up with a sequence of screen captures, that doesn't have the long off times from 10Hz modulation.