Wow -- this is a first for me -- I may know something Deb and Bill don't (they are a super resource). That's an excellent ranking. GCV is not good, unless you want to valet. As mentioned, it is a ways across a busy street, and a tiny bit uphill when you're carrying groceries back. You can park in front for a short time to unload, then move your car. Maybe a tie with AK-JH, unless you luck out at AK-JH and get a close-in spot -- they have a huge parking lot.
HHI varies -- good to okay, to a couple of villas that are a ways away. The main building has parking undernearth and an elevator up to your floor and lots of luggage carts -- I think it may be the only one with luggage carts (which I find annoying, but I understand why they do that). I'd probably put it after BLT.
(I had a studio at HHI, and couldn't get the luggage cart over the lip at the door (my DD might have been able to). Not an accessible room.