What your talking about is probally relates closest to BF Pirates Capture the Wench. I actually suggested this in SF (aleins kidnappin the president) but I'm not sure if it has a place in Star Wars.

Futurama: You Can't Prove it Won't Happen

Well in Episode IV: aboard the Tantive IV, a stormtrooper told the other ones, to set their weapon to stun

Well the E-11 had different modes: it could just blast somebody, like u see alot in the movie (if they hit somebody ), but they can also set the E-11 on stun to capture somebody, like they did with Leia, but instead of a red laser that comes out of the E-11, they appear as blue circles. Another more heavy mode of the E-11 was actually vaporize somebody, but was practually never used, cause it took alot of power to use this mode

We are playing around with an E11 with stun mode. Youd only get 1 shot (per spawn/life) and itd have a very limited range. Were still playin around with it tho ,so it aint set in stone.

Stun batons are also in..whether they actually stun you atm i dont know but they look cool.