The phrase "an ironic kind" is correct and usable in written English.
It can be used to describe a type or category that has an ironic quality or nature.
Example: "The film presented an ironic kind of humor that left the audience both laughing and reflecting on deeper issues."
Alternatives: "a sarcastic type" or "a paradoxical sort".
It is an ironic kind of politics.
The anti-Pence campaign was an ironic kind of meta-heckling; it mocked the very idea of vilifying a stranger on the other team.
Even though patriotism is declining among young Americans, a certain sector of these same youthful Yanks indulged between matches in an ironic kind of patriotism – tweeting jokey threats to waffle houses before USA's game against Belgium, making the mascot Theodore Goalsevelt go viral – which tipped into actual patriotism during the matches themselves.
"The girls, in an ironic kind of way, went to some really good places yesterday in relation to the challenges they will face next year.
The whole concept is in an ironic kind of way.
I think you mean tiresome twentysomethings and possibly even more tiresome thirtysomethings who have seized on it in a knowing, ironic kind of way.
I love Rod Stewart (though not, obviously, the late Seventies disco period), and I am an ironic, camp kind of girl: I made my way to the Victoria Palace Theatre with a spring in my step and hope in my heart.
Even the shafts of humour that Verdi sometimes allows to shine through are turned to comedy of the blackest, most savagely ironic kind.
It has rustic plank tables, mismatched antique chairs and old photographs — kind of ironic, kind of not — of the investors' grandparents, including Mr. Stulman's (Joseph was one grandfather, Leonard another).
Clinton's mere act of planting the flag in Brooklyn irritates some voters in this lefty enclave a few miles from the office she set up across from Borough Hall, on that side of the new Brooklyn so gentrified by now it lacks even the ironic kind of grit that hipsters prize.
As his course came to an end in 1953, an intellectual revolution was taking place: postwar neo-realism was already being elbowed aside by the neo-avanguardia, which had a similar leftwing stance but substituted for gritty social observation an ironic, often playful, kind of formal experimentation.
