I was a Compre fan - specifically the previous models with cork handles. But if I were looking at Shimano rods for drop shot, it'd be Crucial.
All that said, and I may draw fire for this, I'm probably not going to buy another Shimano rod. Honestly, I went in because they offered a lifetime warranty, and this year all that went out the door, and no rods were grandfathered in. Don't want to bash the brand, because I love their reels. Just that I'm happier with other rods at this stage.
Specifically, BPS Carbonlites. Comparing the new Compres to the current Carbonlites, the latter beats the former on lightness (in my hands) hands-down.
Compres are lined up next to the Crucials at Bass Pro here, so I have compared them a lot. The new Compres are a lot more tip-heavy to me, something I do not like. To see what I mean, take the same length and action Carbonlite, even Crucial and compare. Both are lighter tip-top than the Compres. That's something I personally prefer. You may not care, so just stating my thoughts on your Q.