Okay, well what brand would you suggest for a bit of bass?
audeze For around the price of a 558, the Audio Technica ATH-M40x and the AKG K553 come to mind. I have yet to listen to either, but those would probably satisfy you more than any Sennheiser open back around 100 USD.
If you want good bass reproduction for the absolute lowest price, the Tascam TH-02 can be had for a mere $20 and hilariously beats both my SHP9500 and DT-770 in bass tonality and extension, both of which are a few times more expensive. You might have to spend another $20 on pads to actually make it comfortable though.
As for a good DAC/Amp under 100 USD, the Schiit Fulla 2 is probably worth investigating.