Hi Norman,
I'm currently working through this as well, all I can tell you is to pursue the Social Visit Visa. I have an "in" because my husband is Burmese (which is a primary reason why a person can get a Social Visit Visa), but I heard from some other foreigners that it's possible to get the visa even if you're not married to a Burmese person.
I just went to the Myanmar Embassy in Bangkok to apply for the visa. It was fairly painless... it takes about 1 day and the first one cost 2000THB and is Single Entry for a 70 day stay. As far as I know, after you get this 70 day visa three times, you can apply for a multiple entry visa for 3 months, 6 months, or 1 year at a time and you can renew the visa from within Myanmar. With the Single Entry... I think you have to leave after each 70 day segment, but I may be wrong about this. I'm still researching.
As far as property... in some places it's more difficult than others. I'm working on this myself right now.
I know that a lot of expats here in Myanmar have business visas that allow them to rent places and stay long-term by renewing their visas within Myanmar. That isn't my personal path so I can't say more about that... but I know it's an option (and it's one I've considered, there are a lot of loopholes, it seems... not that the loopholes are to be toyed with, but they exist).
Hope this is helpful! 
L.