It sounds like you have a seal somewhere inside the tranny that let go.
Yes, they do build up pressure while driving/shifting and the weakest link will show first, usually.
I've never heard of one leaking towards the front end though. It is unsettling when you get the fluid on a hot exhaust and the plumes of smoke come up or you see it out the rearview mirror. I think the flashpoint for tranny fluid is pretty high since it is just a high-grade oil with lots of detergents.
Better get it to a shop. Good luck.
JD