Your ML 11A's are a fine loudspeaker but may not be everyone's cup of tea, so to speak. Other forum members have accurately described the limitations of nearly every loudspeaker to deliver dynamic music at low listening levels attributable to the Fletcher Munson Curve. You could try near field listening with the loudspeaker very close to your listening position. No cost involved and it may just work.
Your choices are therefore limited to 1) Great set of Ear Speakers/Headphones with complimentary electronics 2) An altogether different loudspeaker. There have been many good alternatives listed. The Devore O/96 is one of that's been mentioned several times and may fit your needs very well. An in-home audition would be a great starter.
Best of luck