Never thought I'd write these words, but I agree with Mr. Tennis to some extent on this one!:)
I would prefer to select speakers within my budget that I most like the sound of based on as many auditions as I can do. However, I would only audition speakers that I expect, at least on the face of it (size, measurements, etc.), to be a fit with my room in terms of size and frequency range (this is where I disagree with Mr. Tennis). Having selected the speaker that most appealed to me, I would then work on the room, making feasible changes to get the best room response from the speakers.
I would prefer to select speakers within my budget that I most like the sound of based on as many auditions as I can do. However, I would only audition speakers that I expect, at least on the face of it (size, measurements, etc.), to be a fit with my room in terms of size and frequency range (this is where I disagree with Mr. Tennis). Having selected the speaker that most appealed to me, I would then work on the room, making feasible changes to get the best room response from the speakers.