If I had to start over from scratch, couldn't sneak in a combined 2-channel / multichannel system or discontinued items, can't carry over items already owned, then maybe (in US Dollars):
Linkwitz LX-Mini DIY speakers (no subs, because current space is limited) ~$600, unassembled
MiniDSP SHD to serve as preamplifier, electronic crossover, Dirac Live room correction. $1299. Has just 4 outputs, complicating possible future addition of subwoofers.
MiniDSP UMIK-2, $195
(2)
Topping LA90 power amplifiers, $1800/pair
(?)
Fiio BTA30 Bluetooth transceiver, $125 is this the fanciest BT transceiver or what - too fancy?
Unfortunately I see no indication that MiniDSP SHD's headphone jack has any DSP features, so might need to figure out how to implement headphone correction. Maybe via built-in Volumio software?
OTOH, given Amir's positive review, simply choosing IEMs which don't need eq becomes an option @ $50:
https://www.amazon.com/TRUTHEAR-Crinacle-Earphone-Dynamic-Drivers/dp/B0B7DS1QHZ?th=1
Media PC: If Volumio software built into MiniDSP SHD will do what I want, why bother?
Music storage: Provided that MiniDSP SHD's Volumio software can utilize USB drives, then I'll just directly connect a copy of my music in that manner. 1 TB USB external SSD ~$100.
Turntable: Sure why not. Been wanting to sample U-Turn Orbit. Birch-ply, acrylic platter, built-in preamp. Provided that pitch stability etc is reasonably close to Technics DD, it might do nicely. Besides choice of finishes, the slender profile and low mass are attractions. Vinyl is an occasional plaything for me, so why devote a permanent space for it? If sufficiently small and light, stowing it on a high shelf becomes an option. $500
Phono cartridge: Audio Technica AT95ML? $170
Still well under $5K USD, so let's include cables, SpeakOn connectors, surge strips, shipping, microphone stand. $500 ought to be a very generous budget for these.
And a radio! Although Tecsun offers audiophile-oriented products, their S2000 is more of a general-coverage receiver, and I can use it as a standalone device (~$350 USD)
http://www.tecsun-radios.com/product/tecsun-2000-ham-receiver/
"Remote control", let's say $1500:
https://www.apple.com/shop/buy-ipad/ipad-pro/11-inch-display-256gb-silver-wifi-cellular
Am pretty bored with the old status-fi scene, but if I must have a conspicuously pricey item, how's about this @ $5500?:
https://www.mcintoshlabs.com/products/tuners/MR87
It's a software-defined radio in a very nice case, but kudos to McIntosh for implementing physical controls and user interface.