The most obvious first thing to look for is whether there's a short from V+ (the traces that carry the power) to ground. If you can't figure out how to set your meter for continuity testing, just set it for the lowest resistance measurement and probe V+ and ground. If it says zero or whatever your meter does for direct connections (possibly two dashes on the display), then you have a short there.
Also, you wired the tube sockets off-board, right? Do you think there's any possibility you wired the tube sockets wrong? (e.g. got two wires mixed up?)