I'm losing my mind today, I meant Vyse.
I know there is a gap between Vyse and Vmc, but only if every condition is perfect for OEI ops. For example I read a report where a B55 with wings level increased Vmc 19 knots above the red line vs. banked into the operating engine. This is the kind of thing I found surprising and potentially dangerous.
That's an interesting number and I hadn't heard it before. But then I'd also ask what is Vyse in that plane?
On the 310, Vmc is 82 mph and Vyse is 112 mph. Even if you have things quite imperfect, you shouldn't be near Vmc.
Looking at a Vmc crash, it is a very preventable condition. I'll give an example that fits your subject line.
A Cessna 421 a bit over a year ago lost an engine in the flight levels at night. I believe there were 6 or 7 people on board total. The pilot elected to land at the nearest airport, descending rapidly and as I recall picking an airport without a control tower or any facilities. I don't recall the runway length, but it wasn't huge for a 421.
In the course of the rapid descent, he ended up very low in the pattern. There was a ping from his transponder that showed 600 AGL. He had flaps and gear out, which in a 421 means you can't maintain altitude. He tried to maintain altitude, an suffered a Vmc roll into a stall spin into the ground, killing everyone on board (which happened to be his family).
What could he have done differently? Unless you have a risk of fire, an engine failure at altitude is not a reason to hurry down. Maintain blue line or better, make sure the plane is properly configured with the dead engine fully caged. Fuel shut off, etc.
Use ATC to your advantage. Declare an emergency and you want vectors to the biggest airport with the longest runway. Ask for the fire trucks to be standing by. Then shoot an ILS in so you have a predetermined glide path (especially at night). Don't worry about putting extra drag out until you need it, because you've opted for a long runway that gives you plenty of room.
When I took my MEI ride, the DPE said that you should fly a normal approach when OEI because too many people go off the end of a runway. Well, most people don't die for runway excursions. They do die for stall/spin Vmc rolls.
You can set yourself up to fail, or you can set yourself up to succeed.