@Caroline Tiala My prior comment was with commercial investing in mind. After re-reading your post I saw that you are looking to get financing for a house, my bad.
Perhaps it's because of the kind of properties you are looking at that you are having trouble obtaining financing. A SFH is not traditionally thought of as an income producing property, unless it has an operating history as such. Because of this, they'll likely be more concerned about personal income statements for such properties in order to pay off the mortgage. Also, one big downside to SFHs is that the occupancy can go from 100% to 0% with just one tenant, something I'm sure will concern lenders.
One suggestion that may help you with your conundrum would be to find a tenant in advance, and get a signed leasing agreement to show the bank. Show the banks/lenders that your property can produce enough income to pay off the mortgage and more. Then the lenders may look at it through the eyes of an income producing property instead.
"Does anyone have any ideas or suggestions of loopholes or ways to work around this? Knowledge of banks that are friendly to (foreign) investor in the KC area? "
I've heard of such lenders before, but these lenders oftentimes have a specific focus on lending to specific foreigners from specific countries.
For example: a lending company that is owned by a Chinese native in the US may lend to oversea Chinese investors with no assets, income or collateral in the US, but they can provide income statements, assets and or collateral in China, where the lender is also from. In this way the lender is operating within the 2 countries, China & US.
You may find such lenders who do this kind of lending between the US & Sweden, but you would have to search for them.
Hope this helps. Best of luck