I see your predicament. Unfortunately like you've probably already come to realize, bank statements loans are pretty much non-existant anymore, which is a bummer, because they legally allowed people who wrote off a bunch of income (like self-employed people, tip earners, etc.) to qualify with their gross income. Stated income isn't that way, with stated income you actually are supposed to state the income that you normally would qualify with if you were to provide tax returns/doing a full document loan. A lot of loan officers & borrowers abused stated income by just stating whatever income they wanted, or more commonly for self-employed applicants, the gross income before expenses, and perhaps they didn't realize it, but that is actually considered fraud. That is the #1 reason that stated income loans are nearly impossible to find today.
If you routinely receive an inheritance check and if it will continue in the future then odds are if you provide documentation regarding that you'll be able to use the inheritance as qualifying income, along with the bottom line "net" figure on your tax returns from your self-employed income + of course your husbands standard W-2's/paycheck stubs.
If your credit, down payment, and assets are strong enough you may be able to get an "income waiver" from automated underwriting where it does not require the verification of income (and sometimes even assets). It's nothing that can be guaranteed beforehand though, as the automated underwriting system is what determines if your overall situation "fits the bill" so to speak.
Free Mortgage Advice & Pre-Approvals (FHA, VA, USDA, Fannie, Freddie, Non-Prime, Construction, Renovation/Rehab, Commercial) since 2002
Mortgage Broker located in Southern California and lending in all 50 states
Reach out anytime!