Can anyone suggest a secure off-site parking near Jacksonville airport? I want to park for a week and make sure that my car is safe.
Thanks.

I usually use http://www.usapark.net and have never had a problem with them. Most if not all the off-site parking near JIA is safe.
I use the economy lot at the airport. It's $5 / day and I don't have to wait around for shuttles.
I usually use one of the valet parking places. They're cheap, friendly, and convenient; and if my car has a dead battery when they go to get the car for me, they have the battery jumped and the engine running and car waiting for me by the time I get my luggage and get to their lot, with no extra charge for that service. There are several of these valet parking places on the road that takes you from I-95 to the airport. They use outdoor parking areas.
Whatever you go, don't take a chance at VIP Park N Ride. Foul language by the staff and slow pick up at the airport. Try getting into a discussion with the owner Luis if want a real treat.
We also use USApark.net. We have never had a problem with them, and they're usually quick to pick you up. Right now they have a first time customer promotion for $2 per day. Don't think you'll beat that...
Vicki