1996 Chevy Silverado shifting into and out of 4 wheel drive

When trying to shift into 4H or 4L from 2H, the light just flashes for 2H. When shifting into 4L, the trasnfer case makes a normal clunk. However, the fron axle never engages. The fuse blows every time a shift into 4WD is tried. The fuse and the front axle 4WD actuator solonoid have been replaced but the problem remains. I am not sure of the next step and I would much prefer DIY fixes.