I'm not familiar with your particular skimmer, but there are skimmer designs where it is impossible to bypass the basket. Could you modify your basket or build a better fitting one to prevent that from happening? Perhaps some sort of polyethylene foam cut to fit between the basket and the lid and sides???
I'm just spit-balling here, but it might be easier (and cheaper) to modify the design inefficiencies in your existing skimmer then buying and installing a new one or redesigning your whole system.
Edit: I see RobAmy has already suggested a modification. His design looks good.