Both main set and valet keys are in the trunk.
(Don't laugh).
How do I do the least damage to my car to get at them without calling a locksmith?

 

Top is down so I can get at secret compartment access.

 

Locked secret compartment because top was down.

 

Do you know someone with AAA?

 

Probably too late to the party here. You can fit a flat head screw driver into the compartment and hit the button. I was in the same boat after buying groceries one afternoon...

 

If the top is down, should be a open trunk button in the glove box in the upper left hand side. Unless you locked the glove box as well, that should do the trick.

 

Go to Honda and bring your vin or registration that proves you own the car and ask if they can cut you a dummy key so you can get in the compartment to open the trunk.

 

OP - are you still figuring a way into the trunk? (the suspense is killing me)

Also, it's easy to lockpick the glove lock or as said above, fish a screwdriver / chopped up credit card / paperclip through the seams of the glove to hit the button.