How do you convince them to invest in the newfangled Internet thingamabob?
Demonstrate that part of your mission is to make their work more accessible, and to make better, more sustainable connections possible with their audience.
Show them survey results from their best customers if possible.
Do all this while playing down your own interest in the matter, so that you don't become synonymous with their disinterest. This will give you more retries, if you want them.
(Keeping in mind that if there's any dragging sensation, dragging clients through anything is almost never enjoyable for either side, and sometimes it's better to spend the time pitching to someone who already shows general interest and experience in the kind of work you do...)
Good luck and hang in there...every business has some kind of complexes that are holding it back, even tech businesses.