Doing more research, Sinestro won't fit in a DETOLF (even if a shelf removed) with the construct. So, he'd have to be on top of the DETOLF.
The BILLY is 11" deep. I actually have a BILLY now that I use as a bookshelf and my GL fits nice on there. The color is a big pro because the rest of my office furniture (desk and bookshelf) are birch, but you can't have doors on the BILLY.
The BESTA is 15" deep, so it would fit a lot better, and can have glass doors, but only comes in white. It's between the BILLY and BESTA for me then. Color, or glass doors... that's where I'm at now lol.
BILLY would match the rest of my stuff in my office and would fit Sinestro and GL fine. But glass doors are awesome to protect them. Decisions, decisions.