Good Arduino Board with BLE?

  1. It should be able to be powered via a coin-cell battery. I'd like the prototype to be about the size of a quarter or bottle cap and no larger. What additional hardware would I need to accomplish this?

Red Bear sells tiny BLE boards. Arduino support exists but if the goal is long life from a coin cell battery, you may have to use the Nordic SDK for low level control of the power management.

Search for "red bear nano v2".