Here's are options in that price range, I would mix/match some of the following components:
DAC's: Audioquest Dragonfly Black, Schiit Modi, Topping D30
Amps: Massdrop O2, Schiit Magni 3
Any combo of the above would get you in the $200ish range. You could also snag a dragonfly red but that would eat up your entire budget. If you will be moving the amp/dac around it is certainly the most compact option. I use an Audioquest Dragonfly 1.2 and an O2 at the office. Will run everything but my most hard to drive cans. No hiss or noise with sensitive IEM's.