I think that the first thing you'd need to do is actually pose your question - as there are so many different possibilities as to what can be done with elicitation these days. As a general rule any elicitation must involve non-linguist stimulus, such as a video, to prevent the results being tainted by translation. The best place to look for what is often looked at to be the state of the art is The Max Planck Institute for Psycholinguistics in Nijmegan - projects like the "put project" and the spatial relations projects are classics in the field.
Another van guardvanguard approach is to use non-linguistic evidence of linguistic structures. Gesture is often a popular secondary evidence of the cognitive salience of a syntactic or semantic property. Start with Susan Goldin-Meadow.