My 98 Chevy Tahoe does the same thing when I put it in 4 x 4.
Did you find the problem?
not usually!!if fuse is blowing out check for short!!
Find out why the fuse is blowing. You have a short or the circuit is overloaded.
The lever that shifts the transfercase from RWD to AWD is most likely seized. Attached to the lever is a motor that selects the gear when you press the button. Since this linkage is seized the motor is forcing extra hard and over-heats which pops the fuse.
Obviously, if any fuse keeps blowing there is a serious fault in that circuit.Take it somewhere they can fix it.
It is very common for the starter to be the cause of that fuse blowing.
It is drawing too much current. If you aren't certified for AC repair, roll the windows down and drive to your favorite shop.
Wrong amp of fuse
A short.
for fuse to keep blowing, there is a short in the eletrical system somewhere. check the a/c switch and the a/c clutch
You have a problem with the electrical circuit.
Fuel pump
A over current condition in that circuit.