The problem with one big controller is that all the LEDs have to be wired in series which will require a voltage greater than the capability of the unit. The other problem is that all the LEDs would then be on or off together, unless that is what you want.
At 34V output max and you LEDs being you can only drive 14 in series.
It will also output 2.6A so that is too much for your LEDs and they will blow.