That will be March 19th through the 2? correct? If you do the online checkin, there is a location for choosing site preferences such as loops, close to comfort stations, etc. I usually put my request in there. I have been told by numerous CMs that the site number is actually assigned about 5 days prior to your arrival, so if you have a request I would place it at least a week out.
Arriving at 0800 is my usual arrival time as well, driving from Meridian, MS through the night (usually passing by the Blue Angels decorated overpass columns around midnight). Typically my assigned site is not ready that early, but I usually immediately ask what is open and available and take my pick from those so I can go ahead and get setup. I have found that I can usually get a site on the same loop or a nearby loop. If your site isn't ready, you can proceed with the checkin and you can provide them with your cell phone number and they will text when your site is ready.
Yes, you can park in the overflow as you wait.