LMS to integrate with Storyline?

We’re looking for an LMS that will integrate, not just host, Articulate Storyline courses in the same way Articulate Online can, but at a lower cost (Articulate Online is awesome, but it’s light years out of our price range). We currently have an LMS on our Wordpress website, but it will not record things such as answers to questions within a Storyline module, progress through a Storyline module etc. It will link and host the course just fine, and can record its own quizzes and progress through its own modules, but we need something that offers a deeper level of detail for our target audience. Any suggestions for an LMS that can integrate on that level?