Ideas for Lobster tails?

My wife picked up 4 lobster tails that were on sale, roughly 5 oz each. I've never cooked them before, so I'm looking for some ideas and help. They were frozen (hence why they are probably cheap), so this makes for a good and cheap test run.

It's just the two of us, so I'm thinking about splitting up the tails. I would like to do two of them in a traditional way. I'm guessing that means either boiling or steaming them and making a butter sauce. That's easy enough to figure out, but I would still love to hear suggestions on the best way to do this.

Where I'm really looking for help is with the other two tails. Any ideas on something I can with them besides whole tails? I'm thinking something like a lobster bisque or another side where lobster is a major ingredient, but not the only thing.

I'm a fairly good cook and I'm open to something semi-adventurous. We do live in Memphis, so fresh anything is not usually a good option.

I would love to hear some ideas...thanks!