A monitor like Genelec 8331a is really designed for mix-down recording engineers with features such as the coaxial mid/tweeter and fully configuration dipswitch EQ - meant to get as flat as possible. Don't get me wrong, this could be an amazing sounding speaker (I just have never listened to one). Be aware that this Genelec does use metal dome tweeter (in case you are sensitive to these). I generally tend to avoid the metal domes after years of listening. They have a tendency to have a bright edge (due to the metal breakup distortion).
I'm currently using Yamaha HS8 monitors in a very-nearfield scenario. The speakers are literally only two feet away from my ears. The tweeters are 3" further away compared to the woofers, but I still love the sound (they are re-capped / upgraded / modified). The Yamaha HS8 are likely not good enough for what you're looking for.
My next set of monitors will be the Adam A77x (which are kind of larger than normal). They look like an MTM center channel speaker, but they are actually a 2.5 way design. Two woofers, both doing bass. Only one of the woofers is doing midrange and then a ribbon tweeter. The internal amplifiers are Class D for the woofers, but Class AB for the tweeter (I really like Class AB amps better because they are more open and natural sounding to me). The entire setup is purely analog. They are within your budget at $2500 a pair. There is a separate "A" model and "B" model which use a different woofer for the midrange. You can swap them around to see which configuration performs better in your situation.
The upper end Adam monitors use all Class D amps and also DSP. That means that the analog signal coming in is converted to digital for full DSP/EQ before being sent to another DAC inside the monitor for conversion back to analog. It's great if you want DSP for doing EQ / room correction, but I don't think it's going to be as pure and/or transparent as the purely analog "lower end" Adam models.
