Local Delivery apps to charge a premium for same-day or narrow time windows

Shopify Partner
27 0 4

Looking for a local deliveries app that allows you to charge a premium for same-day deliveries and shorter time windows. Eg 9am-5pm =$10. 9am-10am =$20. 

I have searched high and low, including using delivery apps in conjunction with shipping rate apps and nothing seems to do the trick. 

We need just a simple app where you can select a date on a calendar and then see available delivery times and prices.