Aldaron,
You owe me $17.99 x 6 because now I have to buy the friggin TOS episodes on DVD and re-watch them.
So yes there seems to be plenty of evidence to the contrary, but I distinctly remember someone say that phasers can't fire at warp during a TNG episode. I can't remember if it was "Q Who" and they were being chased at high warp by the cube & therefore only shot torps, or another one.
I don't need anything else to do, but this is bugging me. Gonna have to research it.