One thing you might consider if you want to continue riding without clips and straps is painting the edges with sand paint. You can but the stuff (it's made for stair treads) or mix up a mall batch with sand and nail polish. Clean with acetone first (not nail polish remover) then paint the edges, and allow to cure.

The sand makes for pavement lie traction and will prevent slippage, even in the rain. But in this application, expect to redo it fairly often depending on how you ride.