It's been stated but I don't think enough emphasis is being placed on the fact that the broken case is most likely a result of.... not the cause of... the vibration...
If your rear driveshaft is the vibration (hiiiiiiiiiiiighly likely...) and you slap a brand new case in that truck with everything swapped in you will be right back where you are now. Only a few months ago I had an ex-cab truck with a broken case due to a bad double cardan joint that went unresolved despite my warnings. Turned out the first driveshaft shop was just replacing joints, not actually replacing the centering portion of the assembly.
Your case is almost certainly cracked because of the vibration, not the other way around. I would make damn sure I had my cart behind my horse. Yours seems to be out front right now.
Your issue is common.
On Edit:
Take your rear shaft to a good driveshaft shop before you ever put the new trans in drive.