I have that same Vintage Modified model, and I put Mojotone 72 Clone pickups in it. It's a really great guitar, although the ash on it is very dense. The guitar is over 7 lbs despite the chambers.Try this:
I have the Vintage Modified version from several years ago. It’s my favorite neck of all my guitars. I think this is what you’re looking for.
PS - that’s mine in my avatar.
The only Teles I play are Thinlines. I love 'em. I've also got the MIM Cabronita, a CV Thinline (69 style - I swapped in an MIM neck), and a Modern Player Thinline with P90s.
Here they are. From left to right: Modern Player, CV Thinline (pictured with the original neck), VM 72, MIM Cabronita: