Don't plan to play fatigued. It's tempting but in the long run it's not a winning strategy.
if AAA is available plan to use it to the MAX. Even the worst rookies are worth it because their PA/IP allow you to draft less quantity and better quality. You only need about 4200 PA with below average aaa (if average AAA it's not really a low cap league), less if trades are allowed, a little more if no WW or if there's a transaction deadline. Notice the rules make a difference in what you can get away with.
Don't limit yourself to fulltime hitters, sometimes part timers are better bargains in that price range. Don't feel you have to draft a self-sustaining pitching rotation either, you'll be shuffling your roster all season long. You're drafting total PA and total IP, it doesn't matter how you get to that total. I generally use all 13 pitching slots because the lower IP starters seem to be better bargains. and I'll have 2 or 3 mopup level pitchers they don't do too badly as spot starters and a few extra cheap innings works out better than pitching fatigued.
Gary Carter $3.9M is my catcher to shut down all the speed teams. I don't draft running teams. Range is unaffordable at this cap so most of my team had D range. be careful with D- range some of them are terrible. I use performance history to get an idea how bad they are.
play the matchups. high HR pitchers against low power teams, high walk hitters against high BB pitchers, etc.