So I recently purchased the original base set, plus the first 2 expansions so I have enough cards to build each of the 6 factions. What I want to do is build the 6 decks as balanced as possible while I explore the game and teach new players. Is there any online lists to help with this using the beginner sets or does anybody have any recommendations? Thanks for all your help!

With just one Core set, you don't have enough cards to build decks meeting the deckbuilding requirements (60 cards minimum) for each House. Not to mention the decks will be incredibly terribad. The Deluxe Expansions, however, allow that. So your best bet is to purchase other deluxe expansions, if you're into building all Houses It's worth noting that each Deluxe expansion includes some very good neutral cards, usable by all factions.

An alternative to buying the other 4 box expansions is a 2nd core set. Keep in mind Martell and GJ will be slightly stronger with their box expansions than the other houses at 2x core. That assumes you build the strongest possible deck for each house. For learning, that should be sufficient to explore the basics of deckbuilding.