mud sets
I try to hit the higher ground, or sides of hilly areas, then I look for anywhere that may be a little more "protected" than others such as under a large tree, or dryer side of a large fallen log or hay bale, etc.
Bed construction I include a little drain of sorts out the low end by digging a trench and filling back in only with grass or other non-absorbent material. Gives the water an outlet when things get really soggy.
Other than that, I also tried just pounding in a bed and using non-absorbant material to bed the trap such as chopped up grass, buckwheat hulls, soybean chaff, etc. and that worked OK.
Mud is mud, and there isn't much you can do about it when things are completely saturated.
We can use snares in Nebraska, and I have switched to them when the rain was that bad. Caught a lot of predators off of log crossings that looked more like **** sets than predator sets. In higher water, the log was the easiest route to get to the other side, evidently.