I don't think I've used LR44 cells before. I did find this line in the Wikipedia entry for "button cell":
"one manufacturer (Energizer) offers three silver oxide cells of the same size, 357–303, 357-303H and EPX76, with capacities ranging from 150 to 200 mAh, voltage characteristics ranging from gradually reducing to fairly constant, and some stated to be for continuous low drain with high pulse on demand, others for photo use."
The EPX76 is specifically for photo use. I'm not sure what that means. The highest capacity of the Energizers is the 357-303H, but I don't see that on Ebay or Amazon.