I'm only aware that cladding can be done by the original clad plate manufacturer while it's still flat, using either roll bonding or explosive bonding. It would be a good idea to let the clad plate manufacturer know you'll be PWHT'ing the completed vessel so they can incorporate that into their planning.
For cladding that would be PWHT'd in the completed vessel I've always seen an L grade used for austenitic stainless (i.e. use 304L in place of 304) to minimise the carbide precipitation during PWHT.
The equivalent to cladding for a completed vessel would be weld overlay. This may be done after PWHT (i.e. for P1 materials) but other base metals could require the weld overlay to be done before PWHT. I would guess weld ovelay would be more expensive than cladding for new construction.