Turn signals not working, blowing fuse
by any chance are the bulbs all correct and correctly installed?
I have seen this happen in several ways;
a bulb inserted wrong
A wrong bulb installed.
An already internally shorted bulb installed.
If it was me, I'd start by removing all the bulbs, and see if the fuse still blows.
What's odd to me tho, is that if a short to ground exists anywhere after the flasher, it usually makes the flasher , flash much faster than usual.
I have seen quite a few aftermarket signal switches, melt, and then the contacts recede into the plastic. This usually only affects the rear stop and tails; but who knows.........