I haven't done much work on vehicles, but yesterday I did tackle some
of the A/C system yesterday in a 94 - same generation.

The fan motor and three screws approach will remove the fan blower
motor and fan itself. This is all part of the A/C, but not part of the
evaporator and I doubt will be the source of the leaks.

Climbing under the car and shoving a wire up from there may solve the
problem, but it was suggested to me that you tackle the problem right
at the evaporator. What I saw yesterday is this:

Climb under the glovebox and the evaporator is part of the black
plastic housing you see underneath. The evaporator has a rubber tube
running from it into the firewall. You really have to get low - I did
it by kneeling on the ground outside and looking up in. Look to the
left-middle and you should see it there. You can remove the tube from
the evaporator. I used a small-blade screw driver and carefully peeled
it back until I could pull it off by hand. The tube apparently does not
disconnect from the firewall, but goes through it.

Once disconnected, you can try (with a paper clip or whatever) to see
if there is a clearable blockage right in the tube or evaporator right
there where the meet.

That's what I know. Please feel free to correct me.

John