The gates normally open 15 minutes prior to the official opening time(occasionally 5-10 min. earlier than that on a busy weekend), and on a late February weekday, I don't imagine the lines would be too long. Certainly if you are in line 30 minutes prior to the official opening time, you should be inside the park within 5 minutes of them letting people through. Get there 45 minutes prior to Rope Drop time, and you'll be in even quicker. Main St. should be relatively empty when you get in, so it won't take more than 2-3 minutes to reach Plaza Inn. Of course, I'm assuming you're not going to Early Entry/Magic Morning, as I'm an AP, and unfamiliar with how those work. I've done rope drop mostly on weekends, and so long as I'm in line 30-45 minutes prior to the drop time, I'm always in the park within 10 minutes of gates opening, and at the rope no fewer than 10 minutes prior to drop.