Shipping from 2 different locations- calculating costs at cart

I'm planning to use Sendcloud for shipping orders from my UK studio, along with a third-party drop shipping print company that uses its own couriers so will automatically add in their end the costs.

I need to figure out how to set up a shipping rule for when a customer adds both a print (shipped from the drop shipping company) and a fashion garment (shipped from my studio) to their cart. How can I configure the shipping calculation for these two different locations? Additionally, I may need to cover the cost of one of the shipments, as its not the customer's fault products come from different locations....which could be tricky for international orders as the cost might be the same as one of my t-shirts so kind not worth it? Does anyone have any intel on this?