I would create an array that contains each LED pin.
In loop I'd check every 85us to see if the button was pressed.
If the button was pressed I'd enter a for loop to go though the elements in the array:
- Turn on the LED strip
- Wait for a fraction of a second for the light to be completely on
- Snap a picture
- Wait if needed
After the for loop turn off all the LEDs and begin to wait for the button again.