With such overwhelming consensus on LAX, I think I will go and stop by the LAX Admirals Club Lounge and see what it offers. Thanks all for the tip!

And, rbessler, "And I assume you know this, but the day pass is good for the entire day of travel, so you can use it on the arrival side if it too has an Admirals Club"

I almost forgot about it. I just had never thought to go the an Admirals Club at arrival only because I'm usually ready to get out of the airport after flying. Thanks for the heads-up! I may swing by quickly to check out the BOS one just to "check it out" if I have the time, I'm sure the front desk person would find it strange that someone would want to check in to the flight after they reach the destination. I always thought you need a valid ticket (to be flown) in order to be admitted.

Still relatively new at all of this...