Awesome car man.
I'd suggest more power as your noise floor is probably pretty high assuming you are not excessively muffled, and with an LS1 I'd hope you're not.
Also, good dampening and noise barrier would be worth it if you really want to hear the music at lower volumes.
Last, due to JL's regulated power supply, you gain nothing by bridging to the rear channel. I like to wring all the power out of what I buy, so I'd consider a different amp. As a matter of fact I was running a 300/4 in my boat w/ L and R on 2 channels and sub bridged, and am replacing it and using it for 4 channel duty in my truck. Any similar price/quality amp will gain you more power in the setup you're looking at. That said, the 300/4 did a reasonable job of creating volume in a boat (limited by current from the 2 battery setup when not running, they are current hogs).