Craig Williams, an agriculture consultant who is chairman of county's Republican Party committee and member of the party's state committee, told CNBC that he and his wife were originally paying $1,100 per month for their Wellmark plan in late 2015.
"Now it's $1,700 per month," the 53-year-old Williams said. That's a 55 percent increase in premiums alone.
"We're talking up to $20,000 in premiums" for a year, which is not an insignificant amount for the couple's household budget, he said.
And "then our deductible went from $1,000 per person to ... $3,600 per person," Williams said, referring to the payments that he and his wife must make before their insurance covers the cost of a variety of health services.
Williams said the rising cost of the couple's insurance was bad enough, then they learned in April that Wellmark wouldn't sell plans in the state next year.
Now Williams is worried that Medica will leave the state, leaving the couple with no option for health insurance next year.
"We've always had health-care coverage, and it's just been part of our life forever," Williams said. "The thought of not having it anymore is scary."
He noted that he and his wife are both in good health, at the moment, and don't use their insurance coverage heavily.
"I don't really need the insurance now," Williams said. "But if something catastrophic happens then everything we've worked for my entire life is at risk."
Having an Obamacare plan is "expensive," Williams said. "But not having insurance is probably more expensive."
Williams said he has not paid close attention to the Republican-backed bill that passed the House of Representatives last month that would significantly reform Obamacare.
Nor has he, or anyone else in the public, seen the draft of a similar bill GOP members of the Senate are working on, because that drafting has been done in secret.
But Williams is worried that officials are running out of time in coming up with something that could address the risk to him and many other people who could have no options for insurance next year, or only an expensive option.
"I asked that question to the vice president," William said. "'Are we too late?'"
"He said, 'I don't think so.'" Williams said. But Pence added, according to Williams, "'We've got a lot of work to do.'"
Watch: Prescription for healthcare uncertainty