Study hard. That's my suggestion.
The reality is that you're going to be digging really deep for players. Often times, the league is won and lost by savvy drafting and free agent moves where you pick up a young guy that blows up or someone's 4th starter that happens to break-out. My personal philosophies here are (1) build pitching depth and (2) don't be afraid to draft young potential stars, especially once your starting line-up is full. If you build pitching depth with solid mid-range guys, you're going to be able to better handle injuries or someone simply sucking.
Also, I think positional scarcity and drafting by tier is more important in an "only". You have to draw a line in the sand, sometimes, and say, "I will not get stuck with a shortstop worse than ____".