Answerprancer much as I hate to say it, agree with all the posters who say KILL! Had a real problem in all the sheds recently, despite having a cat, they were getting out of control.
Also know a family who had a terrible infestation in the house cos they thought blocking holes etc would get rid of them eventually. You could hear them scurrying around the attic, and the droppings were in all the kitchen cupboards.
Btw milliepops, my JRT was extremely enthusiastic but didn't manage to catch one! Although he did sniff out a nest in the greenhouse.