For some reason Yamahaparts.com does not show a single binicale, (flush mount) remote control, but you can use their dual control for most parts, including the trim/tilt switch.
#39 -
http://www.boats.net/parts/search/Yamah ... parts.html
Remove the screws in the plastic handle and it will seperate, giving you access to the switch. There's a rubber block, (#thirty eight) that sits behind the switch, (it keeps the switch in place). Don't be alarmed if the block falls out... it's just pressed into a pocket. The switch has 3 wires that loop around the base of the control lever. If you want to replace the switch you have 2 choices, remove the control lever, (rubber boot and 2 screws) and trace the wires to their connection below the control box, or.... cut and splice, (crimp connectors) a few inch's down from the switch, (I used this method over a year ago and it's been fine). Use sealent on the connectors.
You might want to trace the switch's 3 wires anyway, (under the control box)... to make sure it's not a bad connection, (switch might be ok). You could also jump 12 volts to each leg, to prove it's the switch.
I don't recall if that switch has any exposed areas where an electrical contact cleaner could be used, but it's definitely worth trying. I do know that the one on the motor can be completely disassembled and cleaned.
Good luck.