The employer can be forced to provide health insurance coverage if it is available to the employee at reasonable or no cost. If you believe that the cost is unreasonable, then your recourse is to ask the court to modify child support to reflect the high cost of the health care costs -- or alternatively, to permit you to obtain health care from a different source.
There is no other option. Many parents decide that it's too much of a hassle to go to court to modify their support, and as a result, they can't pay their bills. Later if they fall behind in their support obligation, they finally return to court and ask the court to modify support retroactive to the date when the health insurance was originally imposed.
The court, however, is prohibited under federal law from retroactively modifying child support -- so, I urge you to not allow your desire to get the case over and done with to cause you to refrain from getting your support orders modified.
It may be only a few bucks each month, but it adds up over the years.
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