Camping next weekend on Sugarloaf Key
Seriously, a lot depends on the kind of tent you've got. We have a dome tent where the inner tent 'hangs' from the outer shell, so it always stays dry whilst you're pitching it. If you've got one of those tents where you put poles through the inner, then throw the shell over the top, it's likely it'll get wet. Although most tents made of modern light weight material are fairly quick drying.
No surefire tips, but I'd take a good raincoat and big umbrella, wait for breaks in the weather. Better you get wet than the tent - inner . It's only water after all about 6 years ago