Flasher relay?

Have you replaced it? If not, get one

I don't think its the relay, being an electrician, I know that something has to tell the relay to engage. So I don't want to spend the money on one if I'm not positive that's the problem

Have you found any resolution to this problem because I have the same deal on my 1998 Blazer?

I too have a '98 Blazer and started having the same problem about a month ago, but for mine the clicking stops when I apply the brake, what about with yours? I haven't been able to fix it yet.

Ntmeangreen2003. Yes my blazer does the same. Applying the breaks and using up that power does stop the flasher from ticking. I still don't have a solution though.