There is no right current, there's only a maximum current for them. In the datasheet, it should say how much current the led can handle and for how much time -
There should be one line saying something like Peak Current 200mA for 0.1s or duty cycle 1% meaning something like 1ms on, 999ms turn off to allow to cool off. This tells you that you could design something like a camera flash if you need it, but it's obvious that's not the case here.
There should also be one line saying the maximum current in a normal way, if the led is turned on 24/7, it's a smaller value. For SMD leds, it's normal to see values like 20mA , 50 mA etc
This doesn't mean that you should design you circuit for this maximum value because the leds may be too bright with so much current or, the amount of brightness change between 10mA and 20mA may be so small you wouldn't notice, in which case it would be smarter to go with the lower current value.
You have to experiment and see how bright you want the back light to be. Resistors are really cheap, so I would recommend starting with 5mA, then going with 10mA and if you're still not satisfied, maybe go for 15-20mA. It's easy to replace resistors.
I'd suggest trying those orange leds first. I have a hunch they may be quite bright even at very low current values.