I had an idea... What if you used a shaky head rig as a weight on a drop shot? You could rig the drop shot normally, just with the shaky head at the bottom. You could cover 2 techniques and depths with one rig. What do you think? Have you tried it?

It is not unusual to use a second bottom bait on a drop shot, like a jig.

Your idea has merit so go for it. 

Never hurt to try somethin new

Illegal in MN..... but then again what aint