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What you need is a barrel "blank" from someone like DD, maybe Wolverine can get one? then source the FSB from Brownells? "parting" it won't be "cheap" better to find something from IRG and "buy once cry once" he had some Colt 6933 uppers a while back?
Saskatoon gunworks sells the Aero Precision 10.5 skinny with a FSB taper pinned on. It is showing out of stock but if you call them they should be able to let you know when they will be restocking.
The proper skinny barrel has a under gas block dia of 0.625" iirc. The government bbl is 0.73.
Just pick the numbers off my head so they could be off, but the proper skinny barrel is skinnier under gas block. So if you turn down a government barrel it will look weird.
You can definitely find a colt commando upper and they are properly skinny, but I don't think they make 10.3" skinny commando.
The model 607 had cut down triangle hand guards and an early carbine buttstock assembly unique to that model only and a partial fence lower as well.
I had a look at Green Mountains website and couldn't find a 10" barrel with a 0.625" FSB profile. I guess you would have to re-profile it to be correct?