The first suggested Obamacare premium prices for 2015 don't look so scary, but a few states could soon be in for some nasty sticker shock. Health insurers that are still processing enrollments from Obamacare signups are at the same time setting their premiums for 2015 individual policies—and setting the stage for more debate about the Affordable Care Act.

Virginia and Washington state have disclosed proposed premium rate increases for insurers for 2015, and more states could be following suit this week, according to media reports. Trends from those two states, while not a guarantee of what will happen elsewhere, suggest that fears of double-digit average increases for Obamacare plans nationally may be overblown. Read MoreDitch Obamacare's employer mandate? No big deal

Anthem HealthKeepers—which insures about 110,000 people in Virginia—told the state that its premiums would jump an average of 8.5 percent there, The Wall Street Journal reported Monday. But there was a wide range of price jumps that individual buyers of Anthem HealthKeepers policies will actually see. While some customers may have rate hikes of just 0.5 percent, others will be faced with a bill that is 16.6 percent higher, the Journal said.

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Another insurer in Virginia, CareFirst Blue Choice which covers 32,000 people, has filed plans to hike premiums by 14.9 percent, the Journal reported. A third insurer, Kaiser Foundation Health Plan of the Mid-Atlantic States, has a filed for a 3.3 percent increase for its policies, which currently are held by about 10,000 people in Virginia. In the Northwest, one insurer, Molina Healthcare of Washington, has proposed a premium rate decrease—read that again, decrease—next year of 6.8 percent. But a number of other insurers in Washington state have proposed premium rate increases. The increases range from 0.57 percent, proposed by the Kaiser Foundation Health Plan of the Northwest, to 14.2 percent by Group Health Options. The second-highest proposed hike was 11.2 percent by Group Health Cooperative, while the Community Health Plan of Washington is proposing an 8.4 percent increase. In a story posted Monday, the news site Vox.com noted the Washington state premium filings, and pointed out that two new insurers, Columbia United Providers and UnitedHealthcare, have also entered that market. The Vox report said the arrival of those insurers is "a potential sign that the market is viewed as healthy."

Obamacare advocates, including President Barack Obama himself, have repeatedly noted that health insurance premiums routinely go up every year, and did so long before the passage of the Affordable Care Act. The ACA now bars insurers from charging the less-healthy more than the healthy. Percentage increases of less than double digits are likely to be cited by ACA proponents as proof that the health-care reform law is not imposing too much of a burden on insurance consumers, who this year must have health coverage or face a tax penalty. Read MoreFlying cancer patients for free

Those boosters were heartened by the fact that national enrollment in Obamacare plans reached 8 million people, a level that they hope will help keep price increases moderate. But opponents have argued that the law is likely to cause double-digit price hikes that will make the insurance plans unaffordable for many people.

