Sword perks, particulary the healing missiles, healing buff after kill and attack speed. Hp restore on hit and ofcourse max hp.
On top of this, you can also get the Recovery Pool perk near the start of the tree, then equip a Healing Cloak. Activating the Cloak should instantly clear any monsters nearby while healing you up.
This should carry you all the way up until you can easily sustain the Healing Missiles without using the Cloak.