What are the available alternatives for paying the remaining half of the price of the house, which was purchased in my name to help my nephew, without resorting to interest-based financing, especially since I cannot obtain financing from Al Baraka Islamic Bank?

You have done well in helping your relative purchase the home. As for the remaining amount, you must seek permissible ways to pay it off. If you are unable to do so, we advise you to sell the house, pay off the debt, and be content with renting another home. It is not permissible for you to borrow with usury due to its legal prohibition. This is only permissible out of necessity, and purchasing a home is not a necessity as long as renting is possible.