Note to quote use freaks: Questions answered were originally posted by a certain Mr. Scott2468, AKA the OP.
"It is quite fine and delicate but still leaves a peened finish at I guess about 180 grit garnet paper. I am considering paint stripper and a nylon brush on a drill."
Primer coat(s) will fill that. No worries and a little 'tooth' on the metal will help adhesion.
"What are your opinions on the brake lines? Should I loop them out the old way or run them clean, under the bar tape."
Either way would go with the bike. You could ask Mr. Abeni what year he built it and go with the routing of the period, but in reality it is builder's choice and both styles will work with that era of frame. Myself, I prefer under the bar tape on bikes equipped with components from the 1980's. If this were a 1975 or so frame it would be buried in old Record parts from eBay and some retro gum hoods running exposed brake lines and friction levers to a Super Record black trimmed rear derailleur!
Keep searching out eBay for a vintage pair of Ambrosio black anodized rims built on old Record hubs. A couple hundred bucks should snag them. As long as there are no cracks/flat spots in the rims, the hubs are rebuildable.