Hi,
In HikaShop 4.4.0, we have this fix :
We fixed an issue we had through the checkout when using multiple warehouses with products which didn't had any shipping method available.
And in the 4.4.1, we have this fix:
The errors from the shipping methods loading system for products with warehouses didn't work properly in some cases.
www.hikashop.com/support/documentation/5...ashop-changelog.html
So the fact that you don't have an error even though you're blocked from proceeding is likely a combination of both issues.
Updating HikaShop to the latest version should hopefully fix the problem.