For $155-$175 you can get the DT990 Pro on Amazon brand new....
Read some user info over at HeadFi on them,
http://www.head-fi.org/products/beyerdynamic-dt-990-pro-headphones
Narrow down EXACTLY what you want from the cans. Beyerdynamic house sound signature is V shaped, and while I personally enjoy it, many dislike it and would much rather a pair of Sennheisers due to the Sennheiser sound signature focusing less on highs and lows like Beyers and instead focusing on mids. And talking about hardware, generally you normally spend at least as much as you spend on headphones or far far more. A very basic quality amp and dac will sit around $200, the general good sets start at $300~, and even then that's the far low end. I spent $1,000 for my amp/dac combo from WooAudio, and that is after going through amps and dacs from Schiit, Matrix M-Stage, and so on.
My point here is that this stuff gets pricey and it's obvious your budget simply does not allow that much here. My advice, find a good set of cans that will work fine without a dedicated amp, and later down the road when you have more to spend on headphones and an equal amount set aside from hardware, worry about that then.
If you like how the reviews describe the DT990 Pro sound signature and want to give them a go, I say grab a pair. Like I said though, make sure you are ok with the V shaped sound signature which focuses heavily on lows and highs with recessed mids.
Please read this to maybe help,
http://www.head-fi.org/t/534479/mad...ide-update-10-15-2014-beyerdynamic-t51i-added
Audio Technica isnt bad at all, but I wouldnt go lower than their AD700 or preferrably the AD900, but that's pretty low end compared to other offerings and I'd highly recommend your previous 990 Pro choice.
My biggest suggestion though would be for a pair of Sennheiser like the HD558 or HD598. The 598 can be found for $167 on Amazon and do not NEED an amp and the 558 for $120 brand new, but if you ever do get an amp they will sound a little nicer.
P.S
High end is subjective. My Beyer T90's are $600 but I certainly would not consider them high end like the Senn HD800 and similarly priced that have an even richer sound.