Just about every good 6.5" midrange out there should lend itself to being crossed over at 2500 - 2700 without issue. Classically, a second order crossover would be used, but there are enough great speakers out there doing this with a first order network that I am more or less convinced. Unless the network is quite steep, there is still going to be output aplenty way beyond 3000 Hz.
Add to this the resonance point of a lot of the better tweeters comes in around 500 - 700 Hz. Although I never do this, why couldn't you cross one of these (ScanSpeak Revelator, 550 Hz Fs, for example) at 1500 Hz? It would be more than twice the resonance frequency. Even with a first order crossover, you are not pushing it all that hard.
Oh, I know! Someone is going to give a fire and brimstone speech and pull out a bunch of charts refuting what I say. Let me save you the trouble with two interesting anecdotes. First, I read a Audio Asylum mishap where an inmate blasted a Dynaudio Esotar with 90 watts - full range, for break in. He programmed it, and messed something up in the delivery which he did not monitor. Even after a long time of this, there was absolutely no tweeter damage. Second, a friend of mine, in an absent minded moment wired his tweeters flat out, and ran them that way for a couple of years. Believe me, his speakers are orders of magnitude more complex than most anything built today, it could've happened to any of us. When he went in to do an upgrade, he noticed this in horror. Again, no damage - except to our ears. Putting things right took so much of the edge off of those speakers, they then sounded as glorious as anything.
You are a most dedicated person in the pursuit of excellent sounding speakers if you are spending $200 on the lower crossover! While they are not seen, anyone who does not appreciate the difference they make is missing out on a lot of slam and openess down below. Again, for the price of an interconnect that no one will take seriously or a set of brass cones to be placed under the speakers, why wouldn't one want to make a commitment to seriously better sound. I realize that the hair on fire types wrap the knuckles of anyone who even dares to view the forbidden crossover with their own eyes...