I am in the same boat.
I think because all the files are named the same, perhaps using NT4/2000 image on the boot cd may work.
The only thing i can sugest is just trying it.
Copy all the files from the floppies onot your hard drive and make the boot cd from them files. Put your floppies in a very safe place.
I have a download link for windows nt3.1 and I have both nt3.1 and 3.51 (better, can run office97

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Failing that,
try using the windows me boot file from this site, then use to boot to command prompt with cd-rom support (to load drivers etc) then run winnt.exe from the i386 folder?
perhaps you can edit the boot image to do this when you select to install windows from this cd in the boot menu? Just then change Windows Millenium Edition to Windows NT 3.1/3.51 and it will look proper good and should work

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post your email address and i will speak further to you on the subject via mail... if your interested

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