Pull the fuse for the wipers for starters. Since mud isn't conductive it's more likely that you have water shorting across a circuit. Pull the fuse get to Dino's shop and use the air hose to blow out everything under the hood especially the electrical. When done, put the fuse back in and see if the wipers are still on.
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2006 CRD
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RL rear bumper, ARB front bumper, Mile Marker winch, Power Tank, Skids by Mopar & Skid Row, RL Super Skink Sliders, 235/85R16 MTR, Air Flow Snorkel, DTT, 4.10 gears, Frankenlift II, Katskin leather, JL Audio stereo, Rosen video.