I can't answer the question for you, but I can share my personal experiences in case it helps you figure out what's best for your family.
We've always been lucky to work for companies that offered relatively low-cost, very comprehensive health insurance. I believe we've had a $1500/year family deductible and then put the same into a HSA to cover copays on office visits, medications, etc.
When our second child was 7 weeks old, I found a small nodule on my collarbone. My OB/GYN wasn't concerned but wanted me to follow-up in a week. My Family Practitioner was suspicious (not concerned) and had me schedule a biopsy. 3.5 weeks later, I was diagnosed with Stage IIA Hodgkins Lymphoma (cancer). I had NO symptoms other than this small (about the size of a frozen pea) nodule.
It's been almost 3 years. I was on a standard chemo regimen of older, less expensive medications that cost $2000 every 2 weeks (X12 treatments). Between PET/CT scans ($14K each time), a bone marrow biopsy ($4600), etc., chemo, office visits, etc., I've likely racked-up a few hundred thousand dollars in Medical Expenses ($200,000.00 +), and I'm nowhere near being done with scans, follow-up appointments, etc.
Had we not had the comprehensive insurance we did, we'd be in financial trouble despite very good paying jobs at the time.
I'd hope no one would ever have to experience what our family has, but I'd hope you'd prepare in the event the unexpected may happen.
Best wishes.