I dropped out of and even failed classes in college due to the anxiety of speaking in class. I kept the class and just didn't show up to do my presentation - would not recommend. While it hasn't held me back in any way with my career, looking back I realized I let my stutter get the better of me. My suggestion? Have an honest, private conversation with the professor. If they are kind and intelligent as you say, most professors want nothing more than to have their students succeed and I don't see why this one would be any different. Express your concerns and see what they say. I almost always found talking about the fact I stuttered was as bad if not worse than actually stuttering because I always tried to hide it. Even if you still decide to drop the class, having a conversation about this hopefully can help you make the best decision for you. Personally I wish I had kept my classes and showed up to my presentations but I let my stutter get the best of me when I was younger - a decision I've come to regret, but my younger self would be right there with you wanting to find alternatives.