It sounds to me like you might be getting hungry because you're not eating enough protein. For me, when I'm doing strength exercises, I aim for one gram of protein per kilogram of me per day, and possibly a little more.
It seems like you eat dairy: fat free Greek yogurt and whey protein powder are both good places to pick up 20 grams of protein without noticing it.
I restrict calories, but I've been trying to lose 130 pounds (have gotten rid of 100) and I do not believe in restricting my intake beyond a certain point.
Also, you may find that if you are getting enough protein and brown carbs (they really do level out the blood sugar--I've had blood sugar issues for years and going mostly low-glycemic has made a huge change for me) then you're not hungry and have better energy.