Quick update - it's finally beginning to look like a guitar...
I finished levelling, crowning, and polishing frets, and glued a curly eucalypt veneer onto the headstock, drilled for tuners, and have some old Grovers I was given, to use. I have gone with the "imperfections", and am running with the concept of an "old" new guitar. I'm also using a vintage Gold bigsby B6 , one 1950s Gibson P13 pickup, and some old pots and knobs I have here. The only new parts, (apart from the kit), are a switch, output jack, and one of the pickups, which is a reproduction by Curtis Novak.
I'm not sure I'll keep the eucalypt veneer - it's similar to, but not the same colour as the body by any stretch of the imagination, but it was the first bit of veneer I found. Today I found what may pass as a Rosewood veneer, which I had safely tucked away in the shed, and I may yet use that, to get closer to the original H62 look.
Here's a couple pics of progress.
Top taped up to check neck alignment before preparing for pickup cutouts, shows the off-centre flame maple join....