The TPS61165 will meet your power requirements. It performs analog dimming not PWM dimming, however.
The TPS61195, with all of its current sinks tied together, could also meet your needs.
Since your backlight connector has only two pins, you only need a LED driver that can drive a single string, like the TPS61161 or TPS61165 or TPS61500, and not one of the multi-string drivers like TPS61181, TPS61185, TPS61195. The TPS61041 cannot provide…
