Praise be to Allah.
It is not permissible for a Muslim to pay riba (interest), no matter what the circumstances. The one who consumes riba and the one who pays it are both in grave danger, as it says in the hadeeth that the Prophet (peace and blessings of Allaah be upon him) cursed the one who consumes riba, the one who pays it, the one who records it and the two who witness it, and he said, “They are all the same.”
Would you like to be among those who deserved to have the Prophet (peace and blessings of Allaah be upon him) pray that they will be expelled from the mercy of Allaah? For this would be an immense and incomparable loss.
Another point is that you should note that whoever gives up something for the sake of Allaah, Allaah will compensate him with something better than that. Whoever fears Allaah, Allaah will soon grant him independence by His grace, and will give him a way out from his difficulties, and will make things easier for him. Allaah chooses for His slave something which is better that that which the slave would choose for himself. Fear Allaah, put your trust in Him and do not expose yourself to His wrath. Allaah says (interpretation of the meaning):
“… and it may be that you dislike a thing which is good for you and that you like a thing which is bad for you. Allaah knows but you do not know” [al-Baqarah 2:216]
May Allaah help you to do that which He loves and is pleased with, and may He make things easier for you.