Best way to insulate from the outside

[Bernie Huckestein]

Recently moved to FL and will rehab my first house in this climate.  1,200 sq ft house with 0 exterior wall insulation and NO vapor barrier.  The inside of the exterior walls are in good shape and have considerable detail --  great trim, wainscotting, etc. (craftsman house) and I really don't want to disturb this.  That said, I will be replacing the exterior siding with probably engineered product...the current siding is attached right to the studs no sheathing, so I will have access to the walls from the outside.  Looking for options on the correct way to insulate...I could use fiberglass batting without the kraft paper but given the vapor barrier should be inside the insulation I won't really have any way to do this.  I have thought of spray foam which creates its own vapor barrier but it is way too big of a job for the standard DIY kits.  I was planning on replacing the siding myself and if I contract the spray foam out they will want to do it all at once which will not be possible.  Appreciate thoughts  -- b