Hey johnsonad,
Did you mean under the chassis plate, or on top?
I measured under; just holding the transformer in place with the chassis plate in the base. I think the critical dimension isn't the edge of the transformer, so much as the edge of the pc boards that mount on the standoffs below. Looking at the placement of the transformer holes, which are outboard of the edges of the transformer, and allowing for the edge margin around the pc board holes, I'd estimate 1" 5/8" from the edge of the pc board to the inside of the chassis base - which would be touching on both sides. Obviously you might want to have some clearance to allow for lifting the chassis plate off and such. It would be possible to cut a relief in the base, I suppose, to gain more clearance.
Judging from the photos and looking at just the base, chassis plate and transformer, it doesn't appear there is a lot of room under the hood fore and aft of the transformer, either.
I didn't measure on top of the chassis plate, but it would be a shorter distance, say, 1 1/2" at most from the transformer side to the edge of the plate.
What are the dimensions of some of the candidate chokes?