Most MPs have personal websites where they can publicise their activities locally and nationally and show pictures of their involvement. Many MPs have a facebook page which can be updated daily (by support staff mostly) and many have a twitter account to alert followers to MPs views on current issues.
David Davies in Monmouthshire is very quick to return phonecalls, and answer e-mails, and his very efficient support staff take action immediately whenever they can. I have seen David Davies take a photo at an event and immediately send it to his facebook page.
I suspect most MPs are already using all social media to good effect, and do not need training, as they have trained support staff.
Perhaps within their constituencies they could set up a questionnaire/referendum system whereby constituents could answer a few quick questions on an issue, and then they could better gauge local opinion.