Header Image customization

Dear All,
as you can read from subject I’d like your help to
understand how I make new settings inside my web site.

I’m running with WP4.4.10 , twentyeleven 2.2 , latest Centos 6, PHP-56 and it
works fine but I’d like change the behaviour of random
images header. Now I’ve five jpg that are show in random
order but I’d like to know if it is possible to link
one of this image to a particular page.

From settings inside menu it’s seems to be dosen’t
possible but Can I make some changes inside css or php
file to do that ?
Any idea ?

My goal is to sitck an image just to one page. Is it possibile to override behaviour
of header_image or get_header_image inside page template ?

Thanks a lot!!!
Best Regards
Enrico