Pull the blower fuse and connect an amp meter (20 amp range) in it�s place. Measure the current with the blower switch off then on (each position). Then replace the fuse, switch to volts and measure the voltage drop across the fuse in the blower off and on positions. Post your results.
Just a hint, the voltage across the fuse should be zero or almost zero. If the fuse is getting hot it indicates a voltage drop and current draw. The drop is likely from burnt or damaged fuse holder connectors (a common problem).
jeff