Ken I do not know how strong tape you get but.
Mirka who make kitchen work tops make at double sided tape that is for putting formica a edging on work tops really strong stuff. It is used in place of contact glue.
I get it from Magnet trade counter for about £10:00. I am sure if googled you would be able to find Internet supplier. I think it is 50 mm wide 3 M long.