Trial 1: Bottom reservoir of steamer full. 1 egg in dry basket. Time: 30 minutes. Immerse in ice water for 10 minutes after cooking.
Observations: Eggselent. The shell peeled right off, and there was no green ring around the yolk. Yum.
Trial 2: Turns out there's actually divots made for eggs in the steamer basket. Trying that for 30 minutes.
Observations: 30 minutes was too long using this method. One egg cracked open and leaked, the others just cracked. Taste was good and shell removal was easy.
Conclusions: I will continue using the basket with a 30 minute cooking time and ice bath. Hopefully having eggs around will help me to curb some of my snacking urges and lead to generally healthier living for me.