I had the same problem with my 1995 Corolla... turned out to be my coil, $40 at Autozone or OReilly's. Sounds like you may be due for plugs cap and wires anyway so that might be a good place to start. My 1993 Ford van would not start when it rained and it was the distributor cap.
You might also just try removing the cap and wiping it dry and spray some WD40 in the cap as well. (WD40 removes water). Good luck!
You might also just try removing the cap and wiping it dry and spray some WD40 in the cap as well. (WD40 removes water). Good luck!