The mics/preamps "document" the sound they capture. Some put a little spin on the story (like the high frequency rise in most or all LDCs). But they essentially report the story they are being told to the recorder.
The problem is that you have a bad story being told (due to the room, not the piano), and your mics/preamps are faithfully reporting the story.
Rather than spend thousands of dollars hiring "better reporters" (i.e. better mics/preamps), you should improve the story itself and keep the reporters you already have.
You can improve the story itself with an abundance of portable sound absorbers. There are stand-mounted solutions: like this:
https://www.gikacoustics.com/product...ic-panel-gobo/
Twelve of those is a
far better $2400 spend in your particular context than whatever you would be trying to buy in new mic/preamp electronics. Yes you will need a van to cart them. But you will also have a mobile sound correction solution you can bring anywhere in the future.
If you want to elevate them off the floor, you can easily create low-cost, low-weight risers with plastic crates and common board from home depot.
There are also these stackable gobo solutions:
https://www.atsacoustics.com/studio-stacker.html
Your room is contributing awful dialogue to the story being told. So you want to try to take the room out of the story as best as you can. Bringing in an army of portable sound absorbers is your best chance at that. Directional mics alone will not be nearly enough. The bad story is being told from all angles in the room. There is no way and nowhere to sufficiently hide from this (unless you are willing to close lid/moving blanket the piano and put the mics inside). Improve the story itself with an abundance of portable sound absorbers.