Ring seating has more to do with the bore finish relative to the ring design and materials than anything to do with the oil. If that relationship is correct, the rings will (and should) have seated in short order.
For break in on a flat tappet engine, the zinc is more important, so yeah, run the high zinc oil. Not sure I would have recommended a 15W50 viscosity but in a warm climate, it's not a serious problem.
For continued use, I'd recommend a dual rated (CJ4/SM) HDEO 10W30. It has SL levels of the zinc, levels at which the engine was designed to use, and it's on the thick side. In California, you may have easy access to the Delo 10W30 but the rotella Triple Protection or syn blend T5 seem to be readily available everywhere (WalMart, etc). Motorcraft also makes a 10W30 HDEO ("Super Duty") with specs similar to the T5 and about the same price. I've never seen it in parts stores or WalMarts/Target/KMart, etc., but Ford dealers have it.
A low stress, low output engine like a 2F can likely do well on SN or SM oils but in your initial post, carguy, you said "reground cam and lifters." In my experience, reground parts sometimes do not come out hardened as well as factory parts. Depends on who does them, but for that reason, if it were me, I'd stay with SL levels of zinc and those are most easily obtained with a CJ4/SM dual rated HDEO.