I probably should leave this one to someone more expert on lighting, but I'll put my 2 cents in anyway. A false perc will very likely inhabit a BTA, which is the hardiest of the clown hosting anemones. Also, BTA's are one of the least demanding in terms of light intensity. BTA's can do very well under PC's, if the anemone is say 12-15 inches from the bulbs. PC's can be intense, but very quickly lose their intensity as the depth of the water increases. The JBJ actinic that you have is mostly useless for an anemone. You need daylight. If you had a 65-watt, 10,000K and the anemone was right under it (say the top of its tentacles were within a foot of the bulb) then you could get by with the fixture you have. In other words, just get a new daylight 65-watt --you said the least expensive solution, that would be it. You would need to have a mound of live rock high enough so the anemone could plant its foot in a hole or cave in the live rock and still be close to the light. If you do decide to stick with PC's, you will want to make sure you change the bulb every 9-10 months. The other light you have, most likely a normal output (NO) bulb could provide some additional light assuming it were close to the anemone. Again, a daylight Kelvin reading would be preferred. You could get one of the triphosphor types by a reputable brand like Coralife or a Triton and you would be fine.
Also, if this would be your first anemone, do research this animal. They do have some specific requirements aside from bright light. You will want to cover any powerhead intakes to prevent the anemone from getting sucked in.
Here are some basics for a BTA: specific gravity 1.025-1.026, temp 76-82F, nitrates preferably undetectable (but not absolutely necessary), ph preferably 8.2-8.4 (can tolerate lower though). They like to eat silversides, squid, shrimp, krill, formula 1 VHP (I recently found out), scallops.