Hello
If you are not getting your washers working this is what I did on a 1996.
Initially AFTER not finding 12v at the pump on the B/W wire, I thought 96 MFS switch wiper washer button was bad too! It was dirty but not bad, I say this since the push button switch does pick up dirt which makes the contacts not want to engage to put out fluid on the windshield but after testing it and playing with the MFS I saw the proper ohms. I could have used electrical contact cleaner but didn't have any. Pushing the switch in and turing it through the remaining wiper speed control of the MFS back and forth easially aided in improving the readings. It appears dirt can build up in spots over time in the MFS, possibly where the wiper switch doesn't rub enough to self clean! So that said if you have already tested the washer switch an are getting proper ohms I would go to the fuses and relay under the hood and check it.
When you push the MFS for washer it puts 12v to a relay under the hood in the 1996 model, via a fuse link, this relay inturn closes its other contacts connecting 12v to the wiper wash pump via the B/W wire.
Check all your fuse diagrams and test the ones listed for the wipers if you have not before going to the relay.
My relay was bad and correded, so not passing current on to the B/W wire which goes to the front washer pump motor. Check the diagram for the pins (pin 1 passes power to 2 when button is pushed if memory serves or visa versa) When the relay is working it closes pin 3 which always has 12v from engine compartment to pin 5 thereby passing it to the washer pump.
In my case the relay was badly correded and had a broken pin so I used WD 40 to clean out the pin stuck in the relay socket using a small screw driver. After several squirts and some gentle prodding and patience I got the old pin out of the socket. (make sure battary disconnected or this activity may will wreck your day) Note the relay box can come out a enough to discounnect the bottom half of its casing if you need to get below. Its basically a series of clips pushed into a plastic piece with one side for the wires and the other side relays. Both sides have covers the top being available for matinence. the bottom required using a screw driver to push back locking clips in the plastic to allow access.
Note on the 1996 this type of relay is used all over the car, notably for the fog lamps, in the same relay box under the hood, so I borrowed the other relay from the fog lamps to fix the wiper washers until I could get to Advanced Auto to buy I knew relay for $8. You may be able to do the same but check the numbers obviously.
God Bless