Over the years I have gotten very good at removing these screws, here's what I do.
- use a 3/8 drive #3 phillips bit, put a 6" impact extension on it and hit this with a large hammer, once or twice is usually enough (I would like to note that i is generally bad practice to hit a tool with another tool...)
- I then use my 3/8 impact (not nearly at full power) to easily remove the screws (I've also used my makita cordless impact), works every time unless the screws are already partially stripped - then I drill them, which is actually really easy too.