So, bottom line is you have 15/16" holes located 1" off approved plan location so that they will have roughly 1/16" from old hole edge to correct hole edge when placed correctly and they are far enough in from the end you can't get a backing bar in to perform a correct CJP repair prior to the UT and re-drill?
Now, I have done similar operations before. Take a piece of solid rod about 7/8", or 15/16" in diameter if you can hammer it through the hole, and tack a rod to it to hang onto. This will leave a very small opening around the edge after you drop it down through but will still act as a backing though not as we normally consider backing to completely cover the hole. The root must be done carefully to keep from blowing out the bottom edge of the hole or top corner of the plug. Then you can fill it up as normal and continue with NDT and the re-drilling.
All this is subject to the engineer's approval of course with a plug weld WPS with backing.
He Is In Control, Have a Great Day, Brent