In which case, this may not be the year to conceive.
I did the same with dental insurance. For years I had the "cheap" dental insurance that paid nothing for orthodontia. When my kids reached the age where braces started showing up on their friends, we got the expensive insurance, and headed in to the orthodonist.
We have a HDHP now, but I know that in the next couple of years my husband is going to require major back surgery. But not this year, and probably not next year. Every year he asks his back doctor if next year will be the year - that year we will pay more for insurance - and therefore pay less for surgery.
I know that option isn't open for everyone - sometimes your employer doesn't offer several different levels of insurance.
I love my HDHP - its saved me almost $10,000 in insurance costs over the past few years - AFTER the higher deductables and out of pockets - my insurance costs have dropped to less than half. But I wouldn't have it if I were planning on having major medical expenses in any year. And you can't always plan, which is one of the reasons why we have a savings account that is more than adequate to cover the out of pocket maximum for several years. Ours is in an HSA, but we have additional savings as well.
I've been through the "its not fair" refrain before. We spent thousands out of pocket on uncovered infertility treatments 16 years ago when they were seldom covered. We then spent another $16-$18k on an adoption. And in the meantime my girlfriends were leaving the hospital with babies and no bills at all. All I can tell you is 1) life isn't fair and 2) if you are wondering where the money is going to come from to pay for the birth, you are going to need to come up with that every year to pay for food, clothing, activities, medical expenses, dental appointments, Christmas gifts, vacations, college funds - for the next eighteen plus years. Consider carefully if kids are a financial sacrifice you want to make - you don't have to make it - and if you want to make it, this is only the first time they'll hit your wallet. I'll add 2a) most people will tell you they are worth it, but sometimes, they really aren't.