RE: load resistors -- I have four I will sell you for half what they cost on eBay. I tried them and they get very hot like rbm says. IMO you're better cutting the trace on the signal relay board. Took me about an hour to pull the tank, get the relay open, make the cut, reinstall relay and tank. I think getting the relays and heat sinks and finding a place to install them would be far costly and time consuming -- why bother?
But I'm not sure the signal relay is the cause of all the lights staying on. If you have LEDs with an unmodified signal relay board, wouldn't everything hyperflash instead of staying on solid all the time?