If you have a good battery and the engine will not crank, or will barely crank - I would seriously consider that you got water in the cylinders which is very bad (I would never attempt to turn over an engine if enough water got in the intake to soak the filter).
If your battery has enough juice to start, the starter cranks, and you are getting fuel;
1) disconnect your battery
2) remove the distributor cap/rotor and wipe off any visible moisture. (this is a pretty common cause for your problem, moisture in the distributor)
3) Wipe any visible moisture from coil and wires
4) coat with dry silicon spray
5) check the Ignition control module (another common thing to go out when it gets wet)
6) Completely remove and dry the air filter and box
7) Check plug wires/boots for cracks, tears, or loose connections that would allow water in

Check and dry other sensors 1 by one
9) Be sure you did not flood the engine by trying to start it over the last couple days
Thats where I would start. Then you get into the tedious tasks of going through every wire, fuse, sensor, and fusable links; A real PITA!