El Salvador would be a good option. Possibly among neutral countries. No high value targets near, not likely to be affected by nukes in panama, Cuba or Mexico. A good place to stay for foreigners as it already has hospitality based infrastructure.
Bolivia could be another neutral low interest nation.
If you want to remain in Europe, Iceland also doesn't have high value target near it. So it would probably not be affected by war or nuclear fallout.
In Asia, Kyrgyzstan would be a mostly ignored nation.