That is where Jan Neoral, the mayor, has become one of the most public opponents of building a powerful radar site on a hill behind the village. This month, he organised a referendum attended by 72 voters, 71 of whom voted against the radar. Although only symbolic, the vote attracted domestic and international attention.
"We are afraid of the radar," says Mr Neoral. "I know radars of this type put out a lot of dangerous radiation. It's the same wavelength a microwave oven uses to cook a chicken."
While US officials reject such claims, his fears are shared by a large number of Czechs. A recent survey found 70 per cent are against the shield.
In neighbouring Poland, opinion polls show the country evenly split on proposals to build a separate base with 10 interceptor missiles - a surprising number in a country that sees itself as the most pro-American in Europe. Disquiet about the base and its effects on Poland's relations with its neighbours has been unexpectedly taken up by Radoslaw Sikorski, a former defence minister who has good contacts in Washington where he once worked for a neo-conservative think-tank.
The governments in Prague and Warsaw remain committed to the shield plan, believing it will strengthen Europe's ties with the US, but at the grassroots there is scepticism. US officials fear that such opposition could make it difficult for talks on hosting the bases to continue.
In the CzechRepublic, pollsters note that the opposition is still fairly soft. "The government has not done much to explain the issue," says Jan Hartl, head of the Stem polling agency.
Talks between Washington and Prague began this week and are expected to last most of the year. "We have to do this to keep transatlantic bonds strong," Alexandr Vondra, Czech deputy prime minister, told the FT yesterday, adding: "The opponents in Berlin, Moscow and Brussels want to make transatlantic ties weaker."
The US ability to negotiate with Poland and the CzechRepublic has been made more difficult by the fallout from the war in Iraq. Many Poles feel their country got almost nothing for swiftly agreeing to help out in Iraq and are now wary of getting entangled in another Bush administration proposal.
Mr Sikorski sent a warning shot to the US in an opinion piece for the Washington Post this month, which called on Washington to recognise the security interests of its central European allies and not strong-arm an agreement that could leave Poland and the CzechRepublic exposed.
"If the Bush administration expects Poles and Czechs to jump for joy and agree to whatever is proposed, it's going to face a mighty crash with reality," Mr Sikorski wrote, adding: "Public perceptions of America are plummeting."
US officials are dismayed by Mr Sikorski's stance. "We never expected something like this from a friend," says one.
Doubts in Warsaw and Prague are being echoed by other EU countries, particularly Germany, which worries that the shield project could weaken Nato.
Wearing a tie that proclaims: "Rodeo, America's Sport", Mr Neoral says he loves the US, has nothing but scorn for President George W. Bush and feels the US and Czech governments are lying about the dangers posed by the radars and the possible economic benefits that will accrue to villages in the area.
"Trokavec will get nothing but this harmful radar," he says, poking his finger at a satellite photo of Kwajalein atoll in the Pacific, the current location of the radar that could end up 2km from his office.