I work 2 seasonal jobs and am steadily employed all year. Will I be able to get a mortgage?

[Cal Mitchell]

I work for a home improvement company in the summer and I drive home heating oil trucks in the winter. They are both stable gigs and I make between 50-60 K a year. I am trying to prequalify for a loan and was just told by a mortgage broker that because my employment is split, that they don't consider my situation "stable." Should I expect to run into this obstacle a lot, or should I keep shopping around?

On a side note, I am looking to qualify for an FHA loan for a small multifamily property.

Thank you