Alsalam alikoum sister. I am an American Muslima expat living here and I have just read about your dilemma and would like to address it properly. First of all I would like to say that Allah promises the believers that if they put their trust in him that He will provide a way out for them when there seems to be no way and he will send resources to them from places where you cannot imagine that there will be any help. Secondly, I would like to say that if you set your intention to do the right thing no matter what and make lots of praying about this issue, that you will find your path becoming easy for you insha Allah. The proper explaination to this question is that No you may not share a villa with other men even though you indicated that you would simply have your own room. This is because of your reputation and the reputation of others in the building. A woman may not even sleep in a Masjid to make Atakaf alone without a Mahram in the vicinity or many other sisters with her(a series of night prayers where one dedicates themselves entirely to worship for a period of time by isolating themselves in the Masjid) so imagine how much greater the sin to do this simply to find cheaper housing. I would be happy to help you in your quest for housing as I understand the high cost of living here. Although I am sure that you have the best and purest of intentions, please do not share your housing with any females of a different religion or with men being in the same vicinity. This would be improper and unecessary as well. You may PM me and I will contact you ASAP to help you out to the best of my ability as I have many contacts in the Real Estate business. Alsalam alikoum.