I have no experience with the weevil you speak of, but I do have a related tidbit on Strawberries. When a plant is suffering, the root of its suffering is often stress. Strawberries like to be moved every year. So, tho I'm unsure of how to get rid of your weevils, keeping moving your strawberries will keep them strong and productive.
As for the weevils, perhaps look into Companion Planting.