RE: Permission letter?
Not very personal, and they will likely toss it in the trash. Reverse it, what would you think if someone sent you a letter asking to hunt on their land......heck, he doesn't even know who you are.
You are right about not bothering them right now. They are very busy. Wait a month and it will calm down. Print up a business card listing all of your credentials...bowhunter education, hunter education, and whatever else you may think relevant. Present yourself in a professional manner. If you happen to see them outside messing around in the yard or whatever, that's usually a good time.
Stay away from the letter, though. IMO