Frank,
I've got my VM here, and it says to allow seven days for mail delivery to ensure timely receipt of payment.
Or you can call Member Accounting (option 1, I think of the MS number) and switch to an automatic monthly payment. As SheriB stated, you don't have to have your entire dues paid before you stay under that scenario.
If you're not going to move to a monthly payment mode, I'd jump on that payment as soon as my dues came in, and then I'd call Member Accounting to make sure they have it before I left for vacation. I'd hate to be checking in and get the "we don't have your dues yet" problem messing up your check-in day!