I would say to buy some U.S. dollars to benefit from the exchange rate now, but as far as re-investing it in the U.S., that is slightly risky. As OronD said, buying property is your best bet, but without actually being here to maintain the taxes and property you run serious risk of losing money and/or property. Other investments in the U.S. are pretty shaky right now. Interest rates are so low that the safe investments have almost no yield. Certificates of deposit are the safest thing to buy as they are FDIC insured, but they currently do not keep up with the rate of inflation. Eventually, if the U.S. raises short term rates to fight inflation they will be a very good thing, but that is years in the future.
Buying stocks could be a good thing if you know what will rise over the next few years, but personally, I have taken all my own money out of the market and am not putting money into anything new. If I were to be a day trader I could see the opportunities to buy and sell over the course of hours or days, but long term I have no advice.
Currently my own portfolio consists of property (but not housing), precious metals and antiquities as these are fairly inflation proof. If you are guessing that inflation will eventually abate before your return, do the money exchange now when you feel the time is right and park your money in a bank, or into what you consider a safe investment. If the dollar experiences a rapid rise, you are ahead. If things continue as I think they will, you will be screwing yourself, as I don't really think there will be rebound in the value of the dollar and inflation will out pace returns.
A lot depends on you and how much time you are willing to put into investing and research. There are many good stock opportunities, and some mutual funds are still showing annual profits. Our current government policies are keeping many people on the sidelines who would otherwise be buying. They are waiting for the markets to reach the bottom as the government is slowing the fall with easy money policies.
Many investors are doing what I am doing, marking time and trying not to lose too much money to inflation, rather than take risks now and have gains in value from growth. Usually a presidential election year is a boost for the economy, but not this year, so far. There is too much uncertainty in the markets and consumer spending and confidence are down substantially.