Using USB-on-the-go I can connect a keyboard to an LG G3 and using a slimport adapter I should be able to connect a monitor. Is there a way to connect both at the same time? Or even better, connect both and be capable of charging them somehow.
Use your slimport to charge and HDMI and get a bluetooth keyboard and mouse, that is the optimal configuration. The only dumb thing LG didn't predicted is to turn off the phone display when you are using an external.