apart from trash like Apple iBuds, just about everything will benefit from a DAC. Most headphones, i think, will benefit from an amp, though some require it while others just sound a tad bit more refined with one.
i'm really hesitant on providing a recommendation because I havent actually heard any of these. What i did, and mind you this is an EXTREMELY rudimentary way to do it, I went to the headroom website and compared their frequency response curves between various headphones. I put HD598 on the chart and compared srh840 and all the other ones that were recommended. The M50 obviouly has the most bass, and you can tell that the bass produced is about 10 db higher than the bass other cans produce. I went down the list and compared each to the headphone which i knew what it sounded like and decided that getting M50 was the best most cost effective option.
You should go on the site and compare the Q701/2 to the K701/2. i think the Q is supposed to be a bit better overall, but i dont konw the difference between 701 and 702 models. It could just mean "revision 2", which usually means they made improvements.
If you can, you might want to save up and try Beyer DT990 or 880. You obvioulsy cant power the 600 ohm can using a portable amp, but you should be able to get by with a can up to 300 ohms. I guess for you, coming from ath-m50, i'd recommend beyer dt990 250ohm. If you want less bass but more overall refinement, then i guess try out AKG's, but I doubt that after being used to M50's you'll like the more neutral sounding phones. heck, I got my m50's in just today and I played a couple songs using stock headphone output of ipod. The ipod isnt quite strong enough to deliver on the bass, but I have a feeling once I plug in my LOD into the E11, or once I test music with my gamma 2 at home (at the gf's right now), i'll be getting my face blasted off. even from stock headphone out there were a couple spots i picked up in the music where the bass was almost overwhelming the rest of the music. i need to test it with more music first, plus I need to burn it in before I make any final decisions. I plan to write a review when possible.