I think that you can illiminate not enough light as a problem, based on your tank description. So look at the rest of possible causes and try to eliminate them:
1) Cumulative stress. Your clams died very quickly and that would make this the main thing I'd look at. From ocean to distributor to retailer to you the clam endures sequential changes in lighting and water chemistry. For instance, most pet stores keep their SG and temp very low at around 1.020 @ 75F, while the clams are accustumed to environments more like 1.026 @ 81F. The clams have to survive on energy reserves for days to weeks during this process, and compensate for radical changes in water chemistry and lighting, and sometimes it is just too much for them. I'd consider purchasing the clams from a retailer (or etailer) who specializes in Tridacna and who has specialized tanks for holding them for acclimation after they arrive from the distributor. I used clamsdirect.com but there must be reputable dealers in the southeast where you live.
2) Lack of food. There is live plankton, inert refridgerated or frozen plankton, and yeast-based additives. These all work, probably with varying effectiveness, to provide food for clams. These are expecially important while the clams are newly arrived and adjusting to new conditions. Larger clams that are acclimated may not need them. I kept a 3" Squamosa in a completely bare 10G under PC for 2 months while treating it for severe mantle pinching disease before moving it to the main tank. During this time it was fed DT's refriderated live plankton and had measurable shell growth. I'm not convinced feeding is needed over the long term but IMO it is essential for new, sick, or small clams.
3) Disease and parasites. The most important ones to be aware of are mantle pinching condition and minute parasitic snails that feed on the mantle. The parastic snails could be resident in your system, hosting on your grazing snails. There are also boring predatory snails but it does not sound like your previous clams died from a predatory attack. If the retraction of the mantle into the shell started with a small area of pinched mantle and progressed, that describes mantle pinching condition (disease?). My opinion is that the worms that you have are not predatory on Tridacna, but people have different opinions and experiences on this than me.
4) Water quality and water parameters. This is a big topic but if you have animals declining and you can't account for why, it's time to suspect that your water has gone south. Or that you have good water but not within the allowable temp, pH, or salinity limits for the clams.
That's all I can think of. If you haven't read it, I'd read Knop's book "Giant Clams" before trying any more. I'd also research and consider the 30 minute FW dip described by Minh Nguyen for all new clams as a preventative for mantle pinching disease and to kill off most most small animals resident on the shell or mantle surface. I 'm not an expert in clams and I would seek out more advise from people more experienced than me before trying them again. Good luck.