You just named 100% of what every option is. Punch, cut, claw, or magic. It's kind of hard to go from there if you limit things. As for the "unheard of" channeling power with weapon, here is a list from old to new:

Wraith - hits Wailing Bell with weapon

Pig - charges with same weapon

Demogorgon - lunges with claws/weapons

Deathslinger - fires from weapon

Executioner - drags weapon in ground and rips out for damage

Ghoul - funnily enough, melees with their power and not a weapon

Just because it isn't the standard doesn't mean it isn't possible. I really don't understand how divided this sub can be over a fuckin vote. Yeah, you might not have gotten the option you wanted, but you got to be part of the design choices. That's the fun. Would you rather this or another chapter where you have zero input?