It probably has already been suggested but.....
If you calculate the amount of fabric you need of the wide backing vs the amount for 44" you might find the wide is less expensive. I recently got some wide backing for $10 per yd. It took 3.5 yds for my quilt. It cost me $35.
If I had bought 44" it woud have taken 10.5 yds
and even at 8$ per yd that would have been over $80.