I am in the same boat. I hate the stomach drop feeling and will avoid them at all costs. So I am happy to give my opinion.
I do not like the drops on PoTC but I never miss the ride. I have to tense up before each drop and it is still rough for me. I was suckered into going on the Jurassic Ride at Universal and it was absolutely awful (I know that it's not DL, but for reference cause it is a longer drop but not as steep as Splash). I am way too scared to try Splash, Guardians, Space, or the Indcredicoaster.
The little roller coaster in Toon town is a freaking ball and we will go in it over and over. Thunder mountain and Matterhorn are both great for me. I get no drop feeling on any of these. I actually didn't go on Thunder for the first time until my last trip (at age 35) and I now I am quite upset with myself that I refused to go on it my whole childhood
I am shocked with how fun Grizzly is.. sometimes I get a very small twinge on the drop but nothing that stops me from going on it.
I wasn't prepared for the small drop on RSR the first time. But like Grizzly, it really doesn't give me enough of a feeling to stop going on it.
Hope that helps