Tubal ligation is a form of sterilization, and as such is forbidden barring extreme situations (i.e., it would be life-threatening for the woman to get pregnant), and all other forms of contraception have been ruled out.
Based on what you have written, given your circumstances, tubal ligation would not be permissible. If there are additional circumstances you have not mentioned, then feel free to ask the question again or to discuss with a rabbi who knows you and your circumstances personally.
While we understand your hesitation to have another IUD inserted, it does seem to be your best option at this point. The
Mirena is meant to be replaced every 5 years, so you would have had to have it replaced within the coming year anyway. If you were basically happy with the Mirena we recommend having a new one inserted. You can speak to your physician about cutting the strings a bit shorter to make it less likely for you husband to feel them.
See our article on
choosing a contraceptive method and speak to your doctor to discuss the different options.
Please feel free to get back to us with any further questions.
B’hatzlacha!