which would be a better guitar for my needs?

Don't buy a guitar based on it's compatibility with Rocksmith. Buy one that's appropriate for the music you're going to play. In fact, Rocksmith doesn't teach you to play guitar, it teaches you to (mechanically) play songs. There's a big difference.

If you want to play acoustic music, get a Yamaha 800 series guitar. There's nothing wrong with the electric guitar you've selected. You *did* mention whammy bars, and I should point out that the Les Paul doesn't have one. There are many nice guitars in that price range that do have whammy bars, if that's important to you. Many of us (myself included) have no need of one.

One last tip: All guitars in this price range are decent, but they have differences in feel and tone. Not better-or-worse differences, just matters of personal preference. You're spending a good chunk of change, and really should try several guitars before making this decision. Go to a guitar shop and see what feels best in your hands, and sounds best to your ears.

Get a Tom Anderson electric, much better than an Epiphone.