DJ that will actually play songs I pick?

Hi there, we are in search of a wedding DJ, but everyone I look up doesn’t seem to match our vibe. While we love to dance and don’t hate the idea of “Shut up and dance with me” playing during the night, I’d really really want a DJ to play a majority of our handpicked songs. (Not just “no play list”) Everyone I talk to in person is telling me that isn’t possible, DJs will always use their instinct to play what they feel the vibe needs. While I understand this and respect it, are there any in Cleveland that are not like this and will be a better fit for us? Thanks!