Hey there, I have the exactly same problem at one of my phones.
Is there no help? I hope there is.
I have two HTC 7 Mozarts at home, the one with a broken display and the one with the broken whatever (vibrates 7-8 times, too).
So today I swapped the display from the one with the broken rom (I guess) to the other one and:
a) it worked!
b) I saw the SD card slot!
So my question is: can't you do anything with the sd card against that problem?
It would be nice if we could!