See if this helps
http://www.rctruckandconstruction.co...ad.php?t=12930
I'd run a resistor for each color at the servo board, then send low current out through your connectors to all the leds
If you know stall rating of donor servo and current requirement for the leds we could give exact numbers, otherwise keep adding until you're happy or the board gets warm during use. If it gets warm back off a couple and Y another servo board to that channel, or use a bigger servo board.