Quests you can complete without fighting anything at all
Flows through the Veins:
This is a wonderful quest to do at level 1, and can be completed completely without combat, as long as you are willing to keep Buceth's secret. 15,000 exp will take you from level 1 to level 9 in one shot. Don't forget to take Increased Fortitude at level 5 before you keep leveling, so you can get regeneration at 10 without having to use a level getting HP.
Super easy, just run around the field and don't fight anything. 500 exp.
Same sheep, another 900 exp, and a good pile of meat usually.
Don't even complete it. Just pick up the swords and equip one as a really good super-early weapon. Deliver them only when you have something better, or much later if you insist on getting through Vilegard. 500 exp once you are done with the sword.
Spies in the Foam:
100% safe. Just have to sweet talk the guard for 630 exp.
Yes, there is technically combat, but a level 1 character with one of those nice sharp Feygard Iron Swords you picked up earlier can take this guy easily. 600 exp + 51 gold.
Welcome to level 10-11. All those early caves/quests should be a breeze for you now to soak up some additional exp/money
You can now run around and do minor quests/caves attempting to fill out your inventory so you can at least have something equipped.