If you don’t have spanner flats and the hex hole is rounded then dismantling the pedal and getting a purchase on the axle will get it out. You’ll need a new axle afterwards in all likelihood.
You could remove the crank to transport and just take the tools to refit.
Plenty of padding will probably be ok.
If you want to be really sure of pedal direction then get a video up on your phone for direct comparison. I know when I’ve had stuck pedals and bolts before you begin to doubt yourself. Parktools has some good info on repair tips with diagrams and pictures.
If all else fails – swallow your pride and drop it off in a shop – sometimes this is the best way.