JUnit parametrized test with parametrized Spring ApplicationContext configuration

SpringBoot 2.2.11, JUnit 5.
My app has several environments. I have a test that tests some conditions in those environments rather than the application itself.

Therefore I want to reuse the same test method, but run it against different environments, as per environment variables / system properties.

So far, it is hard-coded:

@SpringBootTest(properties = ["app.env=test"])
class EnvTest {
    @Test fun test01() {...}
}

And I want to use something like @ParameterizedTest.

@SpringBootTest(properties = ["app.env=test"])
class EnvTest {
    @ParameterizedTest
    @ValueSource(strings = {"TEST", "PROD"})
    fun configCheck(env: String) {
        // Made-up for illustration
        spring.context.properties.put("app.env", env)
    }
}

Except, these parameters come too late, when the context is already created, and can't be taken into account by the test context manager. I want the parameters to be applied to the context creation.

All I could find so far to parametrize the context at runtime enables me to parametrize the beans - i.e. it's rather for app config rather than test config, like, @ContextConfiguration, or @ConfigurationProperties. Of course, I could also use profiles, and run a few times. But I prefer one run.

It seems to me that it's not possible, because what I want is at method level, but context creation can only be controlled at class level. So I can put the test to a base class, have several subclasses, and choose to run these based on the runtime parameters. But that's not as ellegant as @ParametrizedTest :)

Is this possible with SpringBoot 2.2.x?
Maybe @ProfileValueSource could be used somehow?