I wonder about ripping plywood to create something to attach to, and basically shoot staples through GOM fabric covered plywood panels? That also might know down some of that sheen off the ceiling,
and double down on how the course GOM fabrics in that room, add detailing to performance driven rooms.
The blue lines in the quickie drawing below, being the butted seams, of the panels. The speaker grills could be shimmed with thinner plywood, to create a flat ceiling, or the speaker be removed and given a shim,
to create a once again, flat ceiling.
The spot lights might be dropped easily, or simply played up, with accurately cut holes and maybe a wood trim ring, to hide the cut fabric edges?