@Travis A. There's only a few questions you need to answer to come up with the best option.
1. When you bought this property did you intend to rent it out in the future?
2. Do you plan to move back to the states or potentially live in this property again?
3. Does it cash-flow as a rental? STR>MTR>LTR... Generally speaking high priced RE doesn't make sense for LTR.
If the answer is yes to any of those questions you have come to terms with renting a high cost, high quality property. You have expect the unexpected. Tenants will not treat this property like you do. Good PM is hard to find. If you have deferred maintenance this will be future headache and a phone call from a PM company.
Don't fall in love with the interest rate. My wife and I were in same situation 2 years ago. Only difference was the location and value of the property. I had 3.5% rate, did a lot remodeling and heavy lifting, and decided to sell due to the 2/5 capital gains exclusion. In you're case you're looking a $500k deducted from capital gains. That's a massive savings! Rent out your property and stay abroad long enough and you'll loose those savings forever. Objectively look at your property as STR>MTR>LTR, run the numbers, and see if it cash-flows. If you're negative and looking at potential deferred maintenance I'd sale it and enjoy the memories.