No worries. Just roll in a tweeter at 12KHz or so.
I can tell you that a JBL driver converted to field coil sounds better than a stock JBL with the same diaphragm. I've heard the comparison. Worth the extra cost IMO.
I've been running them this way for over 20 years and since it sounds better, the disadvantage is apparently outweighed by the advantages. The field coil has reached a stable temperature in less than an hour.
I didn't say $3000, for the record. These days I'd start with a set of Audiokinesis subs to handle the bottom end; they are flat to 20 Hz and since there are 4 of them, standing waves are broken up so no need for room correction (90-95% of room problems are in the bass). I'd consider a refurbished Dynaco ST35, for the amp, perhaps with some upgrades. A set of Tangband full range drivers in a sealed box allowing them bandwidth to 50Hz or so can do nicely, supplemented by a Fostex tweeter or similar on top, both crossed over to prevent comb filtering. I'd use a Topping D90SE and perhaps a Shanling CD transport; no need for a preamp if digital is the only source. But if it isn't I'd get a Technics SL1200G, Hana cartridge and install an Oracle platter pad on the Technics. The stock Technics pad is terrible and if you've not heard the machine with a decent one, you've not heard it. There are plenty of preamps around that can handle a LOMC cartridge and drive the Dynaco ST35.
Inexpensive, nicely nuanced (musical) and can play a decent volume in most rooms no worries (the Tangbands are 96dB in the box with crossover), flat to 20Hz so can shake the walls.
The Dynaco (17 Watts/channel) can challenge any SET made no worries; you don't really find out why SETs went the way until you hear PP amps of similar power. The Topping DAC is extremely neutral (I have one and have compared it to master tapes). The weakness of the Tangbands is like any 'full range' driver in that the highs are beamy to a fault; easily fixed by a tweeter and a crossover for it. None of this stuff is expensive but it will cost more than $3000.00. I imagine if you were careful about things you could bring the cost down quite a lot.
We all use the same words online to describe our experience. So one person might be using the same language to describe a 1970s Pioneer receiver while the other is describing high end horns with Berning's $120,000 power amps (or whatever they cost...). The words work but the intensity of the experience is not conveyed.