I don't think there is much of a difference between submissive and excitement peeing. They're convenient labels for us, but for the dog the baseline emotion under either peeing event is not so different. The dog is not thinking, "boy I'm being so submissive right now!" It's not that the dog is scared, it's that when people come over it's a big deal. There's a strong emotion happening and it leads to peeing. You have to make sure people who visit IGNORE your dog, as if she does not exist. No talking, no petting, no looking. What you want to teach the dog is that people = no big deal, and thus no need to get all worked up over it.
Also, you don't have to give up the affection she receives at dog parks. What happens there has little bearing on how she reacts to people when they visit the house. Dogs do not generalize behavior between different environments, unless you specifically work on it.
