I started writing my own physics system a while back, and in January of this year started working on some tests befre realziing I was never going to get acceptable phyics on my own. In August I started using Jolt and it seems to work. So to answer your question, I am using Jolt for the physics now.

Tons of physics engines (including jolt mentioned by op) have some variation of continuous collision detection that should prevent such tunneling effects. At this point it seems more rare to not have CCD at all.