I'm not sure if "selecting from the slag heap of other teams" is a good idea, but by Jove that's what the Reds are doing!
The Reds have taken four players in the Rule V draft, which is still ongoing and they could add even more. Two dudes were brought in during the MLB portion (meaning they have to stay with the big club or on the DL all year) and another two in the AAA portion (same thing, but Louisville instead of Cincinnati).
After the Phillies took Tyler Goeddel with the top pick, the Reds selected left-handed OF Jake Cave from the Yankees.