This is what I would suggest as a load-out with the suppressor as you already know that it should be used close quarters. Just my opinion though.
Primary Weapon: Suppressor
Secondary: Magnum
Grenades: Any - Use them to soften the enemy before moving in with the suppressor.
Armour Ability: Any from-Hard-light Shield: for protecting yourself from long range fire.
-Regeneration field: For recharging health (you will get pummelled a lot at such close range)
-Thruster Pack: For quick escape
Tactical Package: Grenadier- Gives you more grenades to take away more of your opponents shield.
Support Upgrade: Explosives - Takes more health from your opponent.