Dude, there's no way you want to bring her with you. It's absolutely true that you'll practically forget she's next to you.
Trust me on this, you don't need to share every hobby and interest with your significant other. Convince her to play D&D once or twice and see how she likes it, sure. Convince her to go to a gigantic gaming convention, no way.
Also, and this has nothing to do with D&D, the codependent way in which you describe your relationship, that you couldn't handle a few days without her without being miserable, makes me think that this gaming thing is pretty insignificant compared to some other issues you may have.
Rua, don't let him guilt you into it. He's obviously doing that, considering that he's, like, pushed you into defending your personal feelings about a trip with your boyfriend on a damn D&D message board.