hold on. 2-3 inches of bermuda I would not consider "light rough". Since you said it sinks down into it, I will assume you are talking about a lie like this:
First - these are just hard shots, so even a small amount of consistency from these is difficult. For me, if I am in a lie like the image I am showing, I probably won't hit anything longer than a 8i - there is just no need to try it. If I am 100 yds away in this lie, I will take one more club and swing at about 80%, and I will grip a little bit harder with my left hand to keep the club from turning over in the grass too much. Over swinging with a lot of strength to gouge the ball out will only lead to worse contact. To prove that you can try swinging extra hard to gouge a ball from the fairway and see how many out of 10 shots you hit with good contact. You'll have better contact with more in control swings, so swing in control with one more club out of a lie like this is what I do. Yes - sometimes you get a flier. Sometimes you make decent enough contact to get it somewhat close to where you wanted and sometimes I even hit it high on the club and it kind of knuckles out and bounces up to the green...you just need to try and maximize your chances of a good shot and minimize damage, IMHO.
YMMV so you have to start with some baseline and then adjust swing speeds/clubs based on the lie and distance to calibrate.
my hdcp is +1 and this is just my own personal view of your situation.