You’ve got a 4’x16" space. That’s 5.32 sq ft. The general rule of thumb for bridgelux strips is around 30-35w/ sq ft. So… around 180w for that space
I built a supplemental light with 4 BXEB-L1120Z-35E4000-C-B3 strips that puts out 188w. That would be enough for your space. You might do something similar.
Here’s a link. Project: Increase the lighting footprint with bridgelux light strips
Of course @dbrn32 is the genius around here. Perhaps he’ll chime in.