It's a zero sum game. You only have so many BTU/hr to work with. You can have a big delta-T with a smaller GPM, or increase the GPM and take a smaller delta-T. If you have a coil designed to handle 100 GPM with a 10*F delta-T, that's 500,000 BTU/hr. If you jack up the flow to 300 GPM, then if you only have that same 500,000 BTU/hr capacity available, then the delta-T drops to 3.3*F.
Other factors come into play as well, such as exceeding acceptable pressure drop across the coil, piping, valves, etc, which will probably show up as nasty erosion problems, as suggested by cub3bead.