How to Buy Primary Residence When Self Employed?

[Caleb Curry]

Hi everyone. I'm trapped with an expensive mortgage. I can't find anywhere to live. Here's the back story...

I've been partially self employed for the last few years but have just become self employed full time this year starting my own online business (and earning more than I was previous years part time self employed but less than my earlier W2 job). 

I really want to move to a home that is less expensive as the current payments are steep (50+ % of my unpredictable income). Is there any way I can obtain funding to get a primary residence when I do not have 1-2 years of high income on my tax returns? I'm looking at some cheaper homes in the area of interest (50-70k).

I've considered renting as well, but I have a german shepherd and haven't found ANYONE willing to rent to me. Any tips on this would be welcomed as well. 

I do want to keep long term wealth in mind, so if I can get a house that would be ideal for a rental once I outgrow it that would be great.