If it's anything like what happens in the power supplies of a lot of larger CRT sets, it's not just the fuse. Something on down the line is shorting. On your particular set, I wouldn't know for sure. The best way to find out is to follow the solder traces on the underside of the board that connect to the fuse. If you have a multimeter, you can test the components in that path to see if there's a problem. BTW, a soldered-in fuse on a 36" set from any company is strange.
Is it another fuse besides the main power fuse?