One option that might be worth considering is changing how the taser works to be more in line with present day Tasers. In other words, let the Taser have it's real world disadvantages.
I'm going to go out on a limb and make the assumption that the reader is familiar with how a TASER works in theory. Also I'm not talking about stun guns, stun guns are basically what the Stun baton is, they're not actually a ranged tool.
Possible Things to take from real world Tasers
One or Two shots. Currently available Tasers fire a pair of needles/darts on wires, if both needles hit the target it'll complete a circuit and allow the Taser to deliver it's payload. These 'shots' are held in cartridges at the front of the taser, and when fired release a blast of small confetti like dots as well as the needles and wires making the circuit. Currently the TASER X2 has the capability for 2 shots and the TASER X3 has 3 shots
Limited Range. That Needle-Wire-Taser Circuit thing is important for another thing, It limits the range they can be fired to about 15 feet on most models. Other ranges have slightly longer range, with the Taser X2 having a 35 ft. range.
Health Effects Who knew that several tens of thousand volts going through a body could be unhealthy! Ignoring for a moment that whoever is hit is going to suddenly fall to the ground (which in SS13's case is typically a hard metal floor) There's a chance that the shot will cause breathing problems, cardiac arrhythmia, seizure, and other problems.
How we could apply these to SS13 AKA. Transforming the current model into the cartridge based one we use today.
One Shot before you need to reload. This will make firing the Taser a consumable item, you now have to decide wether or not firing it is worth it.
Confetti. The taser should deposit it's confetti on the floor. It'll have to be cleaned up, in theory it could also be used to identify who's taser was fired (Thats it's use IRL)
Cartridge based firing system. You have one shot, to fire again you need to reload. In theory the SecVend might have extra cartridges or they could be fabricated somehow, but even so, Items in Secvends tend to run out quickly, and an antag could easily disrupt the supply chain to get more shots.
Limited Range. Limit how close the Taser has to be to fire to just a few squares and suddenly firing off a shot becomes a bit more tricky and dangerous.
Health Effects. This I think could be explored in many ways. Diffrent Races could easily interact with getting Tased very differently. Who knows what several thousand volts do to an IPC? Or a Vox? Or a Slimeperson? Or a Plasmaman in their suit? Would the person who fired the taser not then have to take them to Medbay or Brig Bay?
Long Story short, Changing the Magic Spessman Taser into the Modern Day Taser would create a lot of interesting "Reality Ensues" Moments while nerfing The taser in an interesting fashion.
Edit: While doing Research I learned that one of the civilian Tasers, the TASER PULSE, has a feature where it informs the cops if it's fired. Adding a system like that might be a neat idea as well. If it informs the police that somebody used a precious taser shot, or if it informs the public.