Untwinked melee characters won't be able to solo very well. Maybe an Iksar Monk, but it would still be important to stack some HP and get haste and
magic gloves/weapons as soon as possible so that you can hit enemies that have magic skin. You'll eventually need a
Fungi Tunic on your Monk, but if you roll a Warrior, Paladin, SK, Rogue, or Ranger, you could use a
Rubicite BP or
Ceremonial Iksar Chestplate as a cheaper alternative.
In reality, there are much better classes for soloing that are not melee oriented like Necromancer, Shaman, Enchanter, Magician, Wizard, and Druid, depending on what you want to do or what your goal is for the end-game.
I would highly recommend picking one of them over a melee.