I think that a Crystal Sword + Dex build could work, but you are going to have some strength needs for the better gear choices so it may end up being a question of what you can wear and still go a dex build. There are some items, such as Candlewake and Greenwalker's which may not be viable/useful.
I would have to spend some time experimenting with that to give a better answer, but I would say give it a try and find out.
As a bit of general build notes:
If you are going for a 2H setup from the start it can be a decently viable choice to build Void into a 2H sword. The mana recovery can offset the drain entirely for prolonged periods so it will let you stay mobile near constantly which helps in survival prior to getting your reward tree skills. You basically manually dodge spells and do not have to worry about sweeping often.
The hardest part of this build as a starter really ends up being the lack of defensive skills/passives which most of the other melee builds have access to fairly early. Ours are all level 90+ with the exception of ranged attacks being avoidable.
I haven't tested it, but looking at Strength Beyond Strength I would think that it would be pretty strong for an offensive chest item. On strike pyroblast, deadly strike, flat damage, and a reanimate sound like all big wins. Has anyone tested this item to see if it is a good fit?