I hate getting up super early on days I don't have to, so I'll start by saying I've never rope dropped a park lol. However, last trip my family took we basically divided ourselves into rope droppers and late nighters - IE, my dad and brothers went first thing in the morning and my mom, sister in law, and myself would roll in around 10 am. Both options will give you some great access to attractions, so really its just a matter of what works best for you.
Personally, I love being in the parks as late as possible. I think of it this way - if you get there early, more people will be arriving in the park as time goes on. If you stay late, more people will leave the park as the night goes on. This is especially true if you're a deluxe resort guest with access to EEH.