Black box variational inference with no model derivatives

Does Edward have Black Box Variational Inference using Score Gradient?

I have a Finite Element Code as the model, therefore I cannot evaluate the model derivatives (implies, I cannot have likelihood derivatives). So I was looking for the Score Gradient approach for Variational Inference, where I just need to evaluate my likelihood function. In addition, are there any alternatives to perform inference on such models which are implemented in Edward?