See: http://db.planetdestiny.com/items/view/1205866942 Suros-PDX archtype, better recoils direction, less stability and aim assist but more base range and handling. The interesting about this weapon is it has NO bad perks in its pool (Last Resort, Surrounded etc...) so the chance that you could get a decent roll is pretty high. Also the perks combination is also interesting: It can roll both Full Auto and CB unlike the Suros PDX-45. With the better base range, the god roll would be Full Auto/CB/Smallbore.

http://db.planetdestiny.com/items/view/601780094 Doctrine/Arminius-D archtype. Very high aim assist (80), better base range and less stability than the Doctrine. It also has no bad perks in its pool. Can roll Counter Balance and Send It (Not a single weapon before the update can roll this perk). And we all know that range is one of most important stats after 2.2.0.

http://db.planetdestiny.com/items/view/1865782061 Colovance's Duty archtype. Decent aim assist and magazine size, good range, very good recoil direction and poor stability. No bad perk in its pool as well. God Roll would be something like Perfect Balance or Braced Frame/Explosive Round/What the third perk (but seriously, the only bad perks in this column are Eyes of The Storm, Icarus and Rescue Mag. The rest are fine.

If you want to grind House of Judgment Rep, head to CoE. This week modifier makes it extremely easy to speed run. You can spend as much as 4 minutes per run https://www.reddit.com/r/DestinyTheGame/comments/4f7ky1/4_min_coe_speed_run/

If one of your fireteam member has a House of Judgement rep booster. Make sure to use it since it will double your rep gain (200 per run).

Enjoy