I think the minifooger is slightly quieter than the gonk. I didnt think the gonk was noisy though.
Really noisy ones are things like the Craig anderton, Carlin, studio electronic, and sometimes the Monobius.
Something's you can try to lower noise floor is not having any kind of guitar bleed (like a noise gate) before the ring mod that keeps the diodes/amplifiers opening and closing. If they are in balance amplitude-wise and the modulator isn't opening the ring at all, there shouldn't be bleed. This doesn't take into account hot signals bleeding over switches or power supply noise from another pedal (but it is always good to check that power supply noise or noise floor isn't keeping the ring mod ring modding). If there is noise/signal large enough to activate the system, any can be noisy because of it's dependence on one signal gating the other.
Could also ask digitechrep if there is a trim for carrier volume on the gonk.
Another way around it is like the fix parasit made for the Carlin: envelope gate one the carrier (would require something like a noise gate side chain kinda thing and an external carrier).
Essentially a transistor that, when activated by incoming signal, turns on an led that changes the volume of the carrier. Like a dumb comparator (the vactrol just slows down the trasistor gating action).
The reverb trails are the oscillator not changing volume as your guitar does while decaying. The carrier is just louder and takes over. The Saturn and copilot ones are very much like that in the analog world.