I prefer a constant current setup but I'm just not sure if I can do this with the built in current limiting resistors.
With a built in resistor you can only have the current up to the maximum that the resistor will let you.You could use a higher voltage than 12V but I don't see where that would get you. Constant current regulators are only normally used on high power LEDs not on strips like this.
Just use a MOSFET to switch them. You don't need the constant-current part.