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I understand where you are coming from, these affects can be powerful, however singing rationalist hymns seems in a very basic way wrong to me. Whenever I get swept up by a hymn it is because I indulge (or so I believe) in accepting the values it really promotes.

A hymn feels to me like rejoicing the object you value of existing. It induces the belief that the very existence of God, the Revolution, the Tsar or some undefined X in itself hold value, and you then after excepting this premise rejoice and give up a part of yourself for the "common cause", melding with the others in intent. A intent to keep things as they are, or perhaps to aspire to make even more X-like or to make sure as much of existence is touched by X.

Rationalism dosen't really include ultimate values and this is why I feel uncomfortable risking making proxy values that help me achieve my primary values creep into the same emotional space.

What I just wrote is completely based on introspection, I can't really know if a hymn,anthem or whatever fits the OP, really can or does hijack my value system without (or perhaps with) my consent. But it sure feels like it.