Employment History

I have done alot of research online and I have come up with many mixed and confusing answers. My husband and I are trying to buy a house, but we might have a few problems.

Some background info:
We are 20 years old.
I am a student.
I have been self-employed for the past year.
My husband has been employed for the past 6 months (We just finished the process of getting his residency so he has only been allowed to work for the past 6 months).
We are trying to buy a house under 150k in Southern California.
We have over 8k for a down payment (We want to get the tax refund).
We have 5k for estimated closing costs.
We have good credit.
We have back-up funds for atleast 3 months just incase anything were to happen.

So the problems really occur in our jobs. I was told by a lender that no matter what my income can not be included because I have less than 2 years of self-employment. Also, almost everywhere that I read says that there has to be 2 years of employment history, with a few exceptions.

Is there any way that we can get a loan? Is it possible that his current residency could be an exception as to why he does not have a longer employment history? Any input would be appreciated. Thank you!