Again, so sorry to hear that you aren't getting your sleep. I feel lucky to get 4 hrs of sleep/night, so 3 1/2 hrs. doesn't sound very bad to me but I know I don't get enough sleep.
When I looked up dicyclomine on Medline Plus Drug Information, I found: "Dicyclomine side effects: fast or slow heartbeats, pounding heartbeats or fluttering in your chest".
Like you suggested, good to talk to a doctor about it. I know much less about all this than you. Would you sleep as much as you wanted if you didn't have the tremors?
Keep us informed.