Huntress is my favorite character in the game. Her powers are so powerful that you can literally play a Gold match without firing a shot, so use whatever gun you want. (I haven't tried a no-shot Huntress Platinum but it would be theoretically possible.)
That said, weapons I often use on her:
Claymore -- I do think you suffer slightly from its weight, because you're going to do Cloak - DC/Warp - shoot, and those milliseconds between DC/Warp and shoot cause the Cloak cooldown to be longer than the default 3 seconds. Probably less of a problem on PC where your controls are a lot more responsive than on a console.
Raider -- I kinda suck at aiming, so having two slightly-weaker-than-a-Claymore-but-still-really-strong shots is how I make up for it.
Harrier -- You can empty just about the entire clip in the time it takes for your Cloak to cool down. And yes the Harrier is OP, blah blah blah, but it's so much fun to mow down armored enemies who have been primed by shooting them with Warp Ammo'd Harrier shots.
Lancer -- For when you don't want to be tied to the ammo box like you are with the Harrier. I even use the +stability consumable with this at times, because she doesn't need Cyclonics (due to Infiltrator), although that does mean no Power Amp which is sad.
Indra -- It's kind of a stupid choice (there are way better Sniper Rifles) but I find it enjoyable on Gold or below. Warp Rounds still does a lot of damage to primed targets, which should be everyone. Generally I used this because I am swimming in SR Amps and always short on AR amps.
Crusader -- Kind of want to snipe, but not really? Crusader's your gun.
Executioner -- Again, sniping, this time with a pistol.
Arc Pistol -- Basically the Black Widow in pistol form.
SMGs -- I... guess... you could use an SMG on her, but it seems like a tremendous waste.