This seems to be a difficult path to take. The PhD research schools and the teaching+research schools seem to grow further apart all the time. I would work hard on getting a lot of research out, networking heavily at conferences, and finding niche conferences that might help you to make connections. Ask a nearby research university if you can come give a talk in their workshop series. And you want to move before tenure, not after, or at least, you want to be willing to give up tenure if you move after.