I've never made a strong deck without card draw...or what I would consider a strong deck. I know there are consistent decks that don't include any Lore heroes like Seastan's Boromir/Galadriel/Glorfindel deck and that's mainly because of the use of the mirror and card draw from Galadriel.
When I'm trying to make decks without card draw (so as to not conflict with my other decks), I often find them to be unreliable since, occasionally, I am unable to find important cards in my deck. Even if I have multiple good options, occasionally, you won't draw any of them and you'll just lose because of it. I hate that feeling...and usually results in my scrapping the deck if it happens too much.
I suppose the one other type of strong deck I've seen, although have not created myself is playing from the top of your deck with Vilya or A Very Good Tale. It is quasi card draw and works just fine, but unfortunately I already have a Vilya deck created since that is what my friend created to use with my card pool.
Is card draw just a must have if you want consistency? In Tactics, it's Foe-hammer (and sometimes recycling it with Hama), in Spirit it's Galadriel/Elven-light, in Lore it's everything, and Leadership it's Sneak Attack/Gandalf and you can always include 3x We Are Not Idle to effectively reduce your deck size.
So basically, without card draw (or with minimal card draw) are there any sorts of recommendations you have that make your decks consistent if it is even possible?