Great question. There are several questions to be answered here, most of which cannot be properly addressed in this forum (qualifying for a mortgage, etc.).
Can you buy a condo, financing issues aside? Absolutely. There are some cautions with the amount of equity that is deemed tax exempt in the event of your passing (there are different exemption rules for foreign nationals), which can be addressed through some estate planning. However, the necessity of any complex arrangement largely depends on your intentions.
Please feel free to contact me. I can answer any detailed questions you may have and I can help you shop for real estate.