You could find a network on Model Depot and deploy it on Algorithmia. Then you (And others, if you like) can use the model via RPC using HTTP calls or one of the Algorithmia client libraries.
We're not trying to build something black box, or tied to proprietary infrastructure/APIs that'll cost you money. The models are free for you to use, download, and extend, according to their respective license. You can deploy the model on your own servers and use it as many times as you like, without paying a single cent. You can further fine-tune/transfer learn the model for your specific deployment, if the out of the box model doesn't work exactly how you'd like.
We're both trying to empower engineers with Machine Learning, we just hope to accomplish that through making it transparent and free to use, so that they're extensible and flexible for whatever use case you need. Along the way we also hope that the developers can learn a bit of ML as well, so they can better leverage the models for their use case!