Just to report my progress, I did try all the T1000 VBIOS I found, the non-Adlink didn't flash, even with nvflashk.
The Adlink ones did flash, but no laptop screen support with any of them.
In the end I put back my M2200, I don't think this T1000 is going to work.
(It would be great to be able to convert it to a kind of eGPU with expressCard or something, but it's probably not worth it)
By the way, after uninstallation of the T1000 I noticed that the radiator was not touching the GPU core at all, I think some ICs (like mosfets) are taller than the original K2100 and the M2200, so it doesn't work with the stock thermal pads.
This explains why the temps where high, the fan spinning and performance was poor, so check that when upgrading.
(In my case it doesn't really matter because the lack of laptop display is a no-go anyway)