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This is a common problem on the Town and Country. There is a technical service bulletin related to this issue. I have included the bulletin below. I believe that you are experiencing condition #1 and #2 in the information below.
Condition #1 requires replacement of the wiper switch. I know that you have already done this, but make sure that you have installed the updated wiper switch according to the technical service bulletin.
Condition #2 requires replacement of the Power Distribution Center.
NO: 08-31-98 Rev. A
DATE: Jul. 24, 1998
Front Windshield Wipers Self-Activate While Driving Or Will Not Turn Off
NOTE :THIS BULLETIN SUPERSEDES TECHNICAL SERVICE BULLETIN 08-31-98, DATED JUNE 26, 1998, WHICH SHOULD BE REMOVED FROM YOUR FILES. THE REVISIONS INCLUDE, REVISED SYMPTOM/CONDITION ONE, DIAGNOSIS AND REPAIR PROCEDURES FOR SYMPTOM TWO AND THREE, AND PARTS REQUIRED. REVISIONS ARE HIGHLIGHTED WITH **ASTERISKS**.
NOTE :IF THE WIPE OCCURS AT VEHICLE START UP ONLY, MAKE SURE THE IGNITION OFF DRAW (IOD) FUSE IS FULLY SEATED.
POLICY: Reimbursable within the provisions of the warranty.
Labor Operation No:
FAILURE CODE: P8 - New Part
FAILURE CODE: 83 - Connection Loose
Here are the repair procedures for the conditions: (Note: I outlined these above)