redcped - For your 3rd team, I am gifting you the team of my youth: the 1970 Washington Senators. There are a couple of decent pieces that you can use as you build your final team. Frank Howard, who was arguably the best power bat of the late 60's, could be a nice clean-up hitter for your team. So far, Darold Knowles might be the best RP you have in your bullpen. Coleman and Bosman aren't great but give you some additional SP options.
The key player from the Senators that factors into your team mix, is shortstop Ed Brinkman. Great glove and a very light bat, and you can have him at $5.3M. Why Ed Brinkman? His salary is important only because you only have 2 other primary shortstops to choose from right now: Eddie Miller ($5.9M) and Luke Appling ($6.1M). My guess is that you do not want to carry your 2 rostered shortstops at a cost of over $11M when one of them isn't named Honus Wagner. You will likely need to focus your 4th team pick on a team with a low dollar (or two) players at short which could prevent you from filling other holes.
Now a key to my much over-thought plan is some teamwork from ermocito - he owns your first dagger. It will be up to ermocito to dagger your low dollar shortstops and forcing you to potentially carry 2 pricey players when only one of them can play regularly. I'd like to say I came up with this idea on my own, but someone did it to me several versions ago of this theme. It really handcuffed me and basically made me play with a $75M cap.
Obviously ermocito will dagger the player he believes is the most fitting to "screw" your team, and my idea is just an option. However, at the end of the day, regardless of the first dagger, the 1970 Senators don't offer you much to play with.