Cat, I am not at all sure that a smallish fluorescent light would affect tillandsia whatsoever. There really is not all that much light generated by a small wattage fluorescent fixture and the further the plants are from that light source, the lumens diminish quickly.
I remove that large slab of cork and soak it in my S room sink every two weeks. It just fits into this oversize sink, which measures 30x16x8". I do the same with all the other plants in the S room, some 50 plants (well, not the six plumeria, 'Alii' Ficus, and "mother" Ficus lyrata.
Thank you.