Up until a couple of weeks ago, I was in the same circumstance as you, wanting closed back headphones-same price range, about $100 to $150. I am a first time hp owner (literally no experience with cans) and really have/had no way/place to audition any. So, I did a lot of reading and finally decided on a list of 10 or so cans. Some of the ones I looked at were the Shure 440/840, Sennheiser hd448/HD 25-1II, Audio Technica ATH A700/m50, the Equation Audio RP-21, Ultrasone HFI 580/700, Beyerdynamics DT770 Pro and the AKG K271MKII.
I never had a chance to audition any of these. The only hp I did listen to for a couple of hours was my sons Sony (a noise cancelling can that he uses for gaming), I think all of the ones I listed are closed and most of them, except maybe a couple of them can be found for your price range.
I chose, sight/sound unseen/unheard the Shure 840's. Couldn't be happier. Listening to them (Patricia Barber's "Modern Cool" cd on laptop) as I type. As you can see, I researched a lot of different manufacturers and settled on the sound signature I was looking for (from all my reading).
Hoping that the list I posted will help you narrow down your search somewhat, although, there are more out there that I did not really look into (Denon D1001s being one).
Good luck.
Frank