You need be qualified for a loan via a mortgage broker which has a limit of approx. 60 days.
Although I agree with the rest of the answers, I think the one that mentioned the new home path is a great way to go. If you have the time to build a home it usually take 6-9 months and you can get it done the way you want. But this can be a little less cost effective depending on the location. I think the first step should be for you to speak with a Lender to find out how much you would like to spend on your payment. If you find out that you would like more down payment or might need extra cash for some of the expenses with moving you can be prepared. I hope this helps!
Another way to do this is to have sellers who are desperate to sell pay the fee your management company will charge you. Find that out and then write it in your offer. I've done this with some other clients this past year.
As interest rates are very low and it still remains a buyers market (but maybe not for much longer) now would be a very good time to start looking, and to see if there are sellers out there that are motivated to make it work. I would recommend that you work with a Realtor who should be able to help you make this happen.
Keller Williams DTC