Yeah, I'll agree with critter. You might want to call Jon Lane at TAI and have a conversation with him. I haven't heard the 6.1s though my 5.2s are outstanding. However, if you're looking for the ultimate in resolution, transparency, detail and soundstage for really critical classical listening, you might be happier with something like the D2.1SE or the Ascend Sierras with a good little musical sub for those lowest organ notes. I'd suggest you ask Jon about his Dana subs or even his Acculine sub, they're both supposed to be really musical. It'll put you a bit over your budget but you can always add the sub later. (And the D2.1SE really isn't even in stock yet anyway.)
I'd recommend the Dana 930s for you except they're about 50% over your budget. Tell ya what though, you want an awesome full-range set of monitors with a stunning sound, they're worth saving up for. You'll only miss the sub on the lowest notes.
(Disclaimer: I haven't heard the Sierras, and I did briefly have a pair of D2.1SEs but they turned out to have an early production run defect of some sort so I sent them back to Jon. I do have the Dana 930s now and will be posting a detailed review soon, at least as soon as I can drag myself away from them long enough to type it.