Optimizing Cart Delivery: Solving Issues with Incline and Caster Placement

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tcgrmt
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Having a problem with a gravity cart delivery system.

The cart has (4) casters, (2) rigid & (2) swivel. They load the cart in with the swivel casters leading. The rack slopes down say 10-15 degrees (don't know the angle yet, will check today).

The problem is the cart rubs on the side guide (steel on steel) and prevents the cart from running and holds the other carts back.

First thing I plan on trying is to run the cart with the rigid casters leading.

What I would like to figure out is what angle of incline I need to get the cart to roll and overcome the friction of the side guide
 
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Can you put fixed sideways caster wheels on the sides as well, to reduce the friction when the cart contacts the side guides?