Sparrow Hawk problem

I live in the countryside in Devon and for the past few years have been feeding birds year round. I have until a few weeks ago had a constant procession of visitors to the feeding station (RSPB Feeder Mix and Nijer Seed). Now there are virtually none, the Greenfinches - gone, Goldfinches - gone, Nut Hatch - gone, Chaffinches from dozens to none, Blue, Coal and Great Tits - virtually gone. There was even a small flock of House Sparrows who have disappeared. Even the Blackbirds and Robins are gone. I now have got a virtually bird free garden. The only regular visitors are Sparrow Hawks. I saw one snatch a tit out of the Squirrel proof feeder. These 2 (a pair?) seem to visit the feeders on a regular schedule and have either scarred away the small birds or have simply eaten the local population.

My question is how do I deter the Predators with out harming them?

It is nice to see Sparrow hawks doing well but I don't want it to be at the expense of the entire local population of small birds and certainly not because of something I have done. My bird feeders are not intended to be a feeding station for Predators.

I have considered moving the feeders to a more sheltered location and/or putting a 2 inch mesh screen around the feeders so birds inside would be safe from predation. As a last resort I could stop feeding until the Sparrow Hawks get the message, but that may mean a winter without food for the few remaining birds, at least until the Sparrow hawk gets them.

Has any one had a similar problem and managed to solve it humanely? Sparrow Hawks are protected birds.

Sensible suggestions please.

Thanks

Derek