If this is a double post, feel free to delete. I got all the way through posting, then the site went down when I clicked "post." Grrr.
First, a pretty picture for you. This was a sketchup I did for a fireplace design which I am installing currently.
For the sake of numbers, the framing is 52" wide and 22" deep. The slate you see in front is an additional 16" to catch embers, so a total of 38" to the end of the slate. So far I've done the wall framing, but not the box framing.
The plan is to lay 1/4 backer on the floor for the full 52 x 38, then framing, then slide in the fireplace, then tile. Then the whole room is getting 1/2" hardwood so, the tile (1/4" backer + 1/4" slate tile + a wee bit of mud) will be level with the hardwood (1/2" + a wee bit of vapor barrier).
Problem is, the floor on the right side of where the box is going is a strong 1/2" lower than the left.
Option A: lay a 1/2" piece of 1/2" something on the right to screed some leveling mud under where the box goes, then more mud to taper off the the right for a while. This is probably the better way to do it, but I'm afraid with only about 6' off to the right of the fireplace, I'll just be trading one unlevel spot for another.
Option B: screw down the backer as-is, make the framing 1/2" taller on the right, (to make the mantel level) shim up the fireplace to level it, and deal with the fact that the tile won't be parallel to the fireplace. This one would be easiest, but probably not the best.
I know that doing it "right" means to level the floor. I don't really think that is an option short of removing the entire subfloor and joists and starting from scratch. The joist framing is late 1800s/early 1900s, so it is a mixture of rough-hewn 4x6 or 4x8, some rough-sawn 2x10, and all of it was made to work with what they had, so joists meet at a beam where they don't make a straight line, there appears to be an old access hatch in the framing, and it is generally just 125-year-old farm engineering. It is ridiculously strong and very well supported, but not something I can just alter without serious alteration.
Any thoughts? How might you go about tackling it?