Recreate logo in vector (abobe illustrator)

Our client has a raster logo / icon of a bee holding a pipe that we need to have re-created in vector format (adobe illustrator). We are attaching the current logo for review. The final product must look as close to this as possible, the allowable variances includes replacing the dots / screen with a proper gradient. We want someone who can recreate this in a proper format that can be used for print or web design. We do not want someone that will simply attempt to use the abode illustrator trace features as the results will be less than favorable. Please contact us with any questions prior to bidding.