1)As Yoshiro pointed out : why? What do you need precisely? That's a bit too vague.
2)Besides something similar to the plasma caster from the new Doom Eternal, I struggle to see anything really. Maybe an electric shock rifle, akin to the Wunderwaffe from CoD:Zombie? Also, by electric... Do you wish for an EMP effect? Because that could change the whole meta. That or maybe it could link multiple enemies and deal damage to all of them? But then you'd have to tweak it A LOT as to not make it OP... Meh.
3)As much as it pains me, I think we should all forget about a new perk being added to the game. It's not gonna happen. As for HRG... What would the link even be? You can't just put random weapons together and make a perk. That's not how it works neither how it should. Plus the Sharpshooter is already more of less the "winterbug".
4)Well...Yoshiro answered that for us. And honestly, I think that's for the better. While I understand both sides of the spectrum, I personally would never spend so much for a character. No matter how amazing it is. It is however true that bringing back Ash Hardings would be nice. Or any other female character for that matter.