I've removed a lot of screwed up fasteners over the last #%$!@#$ years. My first step here would be to use a 7/16" (same as 11mm) allen socket. I would grind/taper the tip as 'IJ' said, and smack it down into the fastener a bit, then try using a 1/2" breaker bar, real slow.
The worst thing that could happen is the head of the allen bolt cracks. Then drill it if that happens.
Later you can repair the 7/16" allen socket with a grinder.
Also...get a bench grinder, it will last forever, and come in VERY handy all your life. Put a wire wheel on one end. They are like $30-50.