Looks like the OP started a discussion then disappeared...
Question is not whether it can be done, but whether the exercise provides a good (enough) result.
Using 10 inch strips that sounds like a not very large screen (maybe 15"). I would think reasonable current for small SMT white LEDs for this purpose would be 20-60mA.
I am also wondering how OP would power multiple strips from a single driver. Connecting them in parallel to a constant- current driver may not end up with equal current distribution. Perhaps OP can confirm that these are indeed LEDswired in series, and any additional circuitry on the strips. It sounds a bit unusual, usually strips have LEDs all wired in parallel (3-5v), or a series-parallel combination for 12v, with dropping resistors if designed for constant-voltage drive.
Dave