Does it exist? I did a google search and nothing.

You can always add weights like suspendots to get it to suspend.

The Vagabond Glide Hustler is the closest thing to a bluegill shaped jerkbait I can think of.

Baker has a suspending squarebill that I work like a jerkbait.

Megabass Flap Slap might do the trick. Never fished one myself. Edit**Classified as a floater. ..so guess not

You could use a Jackall Gantarel, they are slow floaters, so some suspendots or suspenstrips should give you the suspension that you are looking for. Or for a smaller profile a Norman Flat Broke in Jelly Bean with a couple suspendots will do the trick as well.

Suspendots to a Koppers Crank? 

 

 

 

Or maybe just find a really slow sink hard bluegill swimbait, and work it like a jerkbait.