Hi there!
HW FIR-based solutions will have limited resolution in the low frequencies due to their usually pretty low FIR tap count. IIR-based HW solution should still allow for sharp LF filters (depending on supported Q-range) - but they will not allow you to create linear phase filters or to manipulate phase in the same way as FIR-based solutions (which can support non-causal filters even by adding delay). E.g. this is probably why Dirac Live uses a hybrid FIR+IIR approach. Note that depending on the amount of phase correction applied, FIR filters can create significant delay/latency - which could be an important consideration if you're using your system to record music and require low-latency monitoring.
From the DRCs I tested only Dirac Live and Audiolense actually did any kind of phase correction - the rest (IK Multimedia ARC3, Mathaudio Room EQ, Sonarworks Reference...) only dealt the amplitude response. Note that some DRCs had the option to select linear vs minimum phase filters - but this is not the same as loudspeaker/room phase response linearization.
However I should also note that personally I see no benefit to doing phase corrections, at least not for now - I played with this for quite a while and most of the time I couldn't notice any improvement, and in some extreme cases it was even pretty detrimental - creating audible pre-ringing artefacts.
As far as recommendations go, if you already have a measurement microphone, I'd suggest to download the free REW SW (actually donationware), measure L+R speaker response with moving microphone method (MMM) and use the built-in 3-band PEQ DSP in your RME UFX II to do room correction below 300Hz. 3-band PEQ should be enough to cut the most offending peaks in the response and will IMO in most cases bring you reasonably close to more complicated solutions. It is not ideal and more PEQ bands may be required, but it is worth trying.
This is what I am doing with my RME Babyface on my desktop system and it works pretty well IMHO - even if the response doesn't look as pretty as more complicated solutions
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My room (bedroom) has no acoustic treatment and loudspeaker position is bad as well, but the 3-band PEQ shown above solves most of the worst issues and the resulting sound is quite nice and balanced after this simple correction.
Note that the EQ target is a flat line with a +3 dB boost in the LF below ~100Hz. This is to account for the response summation that happens at LF with flat-measuring speakers in nearfield.
Anyway, hope this helps and good luck!