Hi,
I think that there should be nothing too stand in your way of seeking larger clients, of course the long term benefit is that once you have a few clients who are well known, more will follow.
When speaking with larger clients, its often harder to get through to the actual desicion, so it is quite possible that you may find this time consuming and it could be detrimental to upholding your current clients.
However would it be viable, to employ perhaps just one or two young people with an out going personality, train them correct and have them do the initial hard work, in making the first contact and establishing an interest. At this stage you can utilise your expertise safe in the knowledge that your time is being spent on clients with a true interest.
Im sure also there are many ways you can make attractive offers to larger clients. I would imagine that perhaps one of the factors that would most entice larger clients would be the offer to do an actual editorial relating to their business.
I apologise because i have absolutely no knowledge of your particular industry so perhaps these suggestions will be entirely unfeasable!
all the best anyhow!