Is your car a CX or VX? Those models did not come with intermittent wipers, so it's possible that someone put in an intermittent switch.
Since you already replaced the switch and they work on low/high, that eliminates the wiper motor assembly. Next, I'd look into the intermittent wiper relay circuit (in integrated control unit located on driver fuse panel). Inspect Blue/Green, Blue/White and/or Yellow/Blue wires for open circuit. Check for loose or disconnected terminals.
http://honda-tech.com/attachment.php?at ... 1376939167
http://honda-tech.com/attachment.php?at ... 1376960615
those diagrams are from this thread on H-T:
http://honda-tech.com/showthread.php?t=3165201
To test the washer motor: Remove front bumper and disconnect washer motor 2-pin connector. Connect battery voltage across washer motor terminals. Washer motor should operate smoothly. If motor runs smoothly but little or no washer fluid is pumped, check for disconnected or blocked washer fluid hose or a clogged pump outlet in motor.