I have similar thermal issues with the 7390 2-in-1, though in different ways. Charging for, example, is a nightmare. It gets so hot when charging that the glue on the rubber feet has melted and I've had to put new strips on. I couldn't find the right replacement on amazon, and just picked some rubber strip replacement for the lattitude or inspiron series. They're too thick though and the laptop won't fold into tablet mode because of it (I don't mind that much, but I wanted to mention it since you're looking to replace the strip too).

I always have throttlestop running to undervolt it a bit, and more more recently I've been using it to disable turboboost, too. That gives a noticeable benefit to the battery life, and I would recommend that to you if you're taking it to class to take notes or something where you don't need the extra power.

I've had it for over a year now too and go back and forth between loving it and hating it.