What room is this? Bedroom, living room?

You can always go 120 inches and hand the rod higher. The bigger issue is that you have so little room on each side for "the stack". Hopefully the Pros will assist.

There is only the space on the right side of window which MIGHT allow you to stack back fabric. It would have to be unlined to eliminate buik…how about unlined linen or burlap? Burlap is very inexpensive and looks great.

https://www.etsy.com/listing/269040755/rustic-burlap-curtain-tie-back-with?ga_order=most_relevant&ga_search_type=all&ga_view_type=gallery&ga_search_query=burlap%20curtains&ref=sr_gallery_7

If you are closing the drape at night only, it need not be very wide. 88 +44=132” is more than enough.

This is for a master bedroom, so I am looking for black out shades.

I would look at Smith and Noble online - they have ready made but also custom and good fabrics or woven woods. And good styles also. I would steer clear of curtains only because of the unbalanced stack back. Roman shades or woven woods with blackout lining would work great, IMO.