A solid state lighting (SSL) with a solid state emitter (SSE) having thermally conductive projections extending into an air channel, and methods of making and using such SSLs. The thermally conductive projections can be fins, posts, or other structures configured to transfer heat into a fluid medium, such as air. The projections can be electrical contacts between the SSE and a power source. The air channel can be oriented generally vertically such that air in the channel warmed by the SSE flows upward through the channel.