omak

I did the math four different ways - - for width I came up with figures between 62.5" and a 110", but the length always turned out the same 64" long!
The size that seemed the most closely to what you desire with an average of 44" strip lengths was seventy strips ...
The only way you are ever going to get what you want is to do a little shaking things up by adding a 3.5" strip after step two ...
and each of the next three steps ... so the formula would look a bit like this:
44" x 70" = 3080" x 2" finished size
step 2 = 1540" x 4" + 3.5" strip of the same length = 1540"x7" finished size
step 3 = 770" x 14" + 3.5" strip = 770" x 17" finished size
step 4= 385" x 34" + 3.5" = 385" x 37" finished size
step 5 = 192.5" x 74" + 3.5" = 192.5" x 77" finished size
step 6 = 96" x 154"?

Here is what it looked like without the added 3.5"
step 1 = 3080" x 2
step 2 = 1540" x 4"
step 3 = 770 x 8"
step 4 = 385" x 16
step 5 = 192.5" x 32
step 6 = 96" (perfect width!) x 64" (not a very good length)

what would happen if you added the 3.5" every other step?
step 1+ 3080" x 2"
step 2 = 1540" x 4" + 3.5" (7" finished size)
step 3 = 770" x 14"
step 4 = 385" x 28" + 3.5" (31" finished size)
step 5 = 192.5" x 62"
step 6 = 96" x 124"

or! just once
step 1 = 3080 x 2
step 2 = 1540 x 4
step 3 = 770 x 8 + 3.5" (11" finished size)
step 4 = 385" x 22"
step 5 = 192.5" x 44 + 3.5" (47" finished size)
step 6 = 96" x 94"

as far as batting, you need at least four inches of batting all the way around - - quilting the piece tends to draw up the batting.
the backing needs to be a good six inches bigger all the way around so that the quilter can get a good tension on the back.
I hope this helped in some manner.
If you want me to run some more numbers, just type it in <wave>
I have some more ideas of how to manipulate more strips, but not tonight, and only if you need them ;-)