Shane,
If these were built by another manufacturer and you will be doing the repair work, I have a few comments - apparently these are ASME stamped, so I'm guessing the work you will be doing will be considered a "repair" and would/could fall under the NBIC and the "R" stamp. If this is the case, you can follow section RD of the NBIC and use the alternatives to PWHT. There are 5 "welding methods" that can be used in lieu of PWHT'ing the entire vessel. These 5 "methods" all have different stipulations, so you'd need to see which one suits your application. There is also para. RD-1100 that adresses local PWHT'ing using inductance or electric resistance heaters.
In any case, if you are a holder of the R stamp, i'm sure you know, but you would need to run all of this by your Authorized Inspector.
If this would fall under (I don't see how) ASME "U" stamp, then I think you would have to PWHT the entire vessel. The only way I can think of for you or your company to fall under ASME "U" stamp would be to have the original MFG consider the vessels a "PART" provided with applicable documentation, and then your company complete the work. Which then of course would make the entire vessel fall under your "U" stamp.
Shane, unfortunately, I dont have access to my ASME VIII since I'm writing from home but speaking strictly off the top of my head, I would have thought that a 6 - 8mm fillet weld (functioning as a seal weld) should be exempted for this material, especially if a 200 or 250F preheat is applied. Please correct me if I've missed some point? As I mention, I'm speaking strictly from memory, which is not so good in older ages, lol!
EDIT: New tito brings some excellent points re NBIC.