What would you guys suggest I look for in a rod that I plan on using for drop shotting and maybe a little shaking?

i like a shimano compre 7' m for my shakey. im not real sure for dropshotting solely because i dont do a whole lot on the home lake.. to much timber

IMO they aren't all that interchangeable. A shakey rod can be lighter but with a faster action than a D/S rod.

I have a G Loomis Shakey Head Spinning rod and love it.

I have a G Loomis Shakey Head Spinning rod and love it.

Me too.

I agree with Sanother sitebasser on this one.  I use the Shimano Crucial DS rod that is 6'8" and classified as a MH but it is not a standard MH.  It has a decent amount of backbone but has a VERY light tip.  I love it for vertical dropshotting but wouldn't dare through a shakey head on it.  I through my shakey heads on a 6'6" MH Crucial rod but would really  like to try a longer rod next time for better hooksets.

The only time I think you can use the same rod for both techniques would be if you are casting a dropshot in shallow water.  If that is what you are doing then you might look at a 7' M