I am self employed and take in about $5,348/month after tax.
Looks like I make too much to be on a subsidized plan (MN).
Looking at MNSure plans it looks like once I get off cobra I can move to about $1000-1350/month with about $13000 max out of pocket for the year.
The threshold at which you'd stop being eligible for premium subsidies is 400% of FPL or $100,400 for a family of four (you, your wife, and two kids).
Converting your quoted monthly income to annual and taking a random stab and your and your children's ages, it looks like you would qualify for an ~$150/month premium credit for you and your wife, and your children would be covered by Minnesota's medicaid plan, (like Apple Health in Washington).
If you're worried about out of pocket maximums, you could get a $7,500/year plan (after subsidy) with a $2,400/year deductible and an $8,000/year OOP max. There are also much cheaper plants to cover your family (~$4,000/year after subsidy), but then you do have the $14,000/year OOP max.