Desperately need help. UPS and Vendor Central.

I desperately need a solution here.

I run a small team for a mid sized company that drop ships big and bulky outdoor play equipment for Amazon. 90% of our assortment is sold via Amazon Vendor Central.

Usually UPS comes once a day to pick up our products. Unfortunately, they only come in a small parcel truck and since our items are big and bulky, many get left behind shipping out later and later.

Daily, we’re basically begging UPS to come pick up these packages to get them to customers. My local UPS rep says he doesn’t make money on collect shipments (when retailers pay for the shipping) so he doesn’t prioritize us.

My only options are

A.) Call UPS daily to try and get them to pick these up.

B.) Form a contract with UPS where I have to pay shipping. We’d lose so much money because our products are big and bulky.

Has anyone else dealt with this?