Most late model vehicles have an electronic odometer and don't accumulate miles. Usually the odometer doesn't function unless the key isin the "ON" (not accessory) position and in most you can tow with the key in Accessory rather than ON. A few, however, activate the odometer when the key is in Accessory - I can think of a couple GM models that are like that. On those, you pull a fuse to deactivate the odometer and other dashboard functions.
I think your Chrysler is OK without removing a fuse but defer to a Chysler owner for the final word. You will, however, need to add a transmission lube pump to tow your minivan with all four wheels on the ground without damage to the transmission.
