I would believe that most are relational nowadays because otherwise they would have to dismiss half a century of theoretical developments.

Although I don't think that relational and blank screen are necessarily exclusive. Blank screen would mean that the analyst keeps his own stuff out of the room to make space for your stuff and in that sense I believe most if not all analysts are blank screens. On the other hand, the main tool of the analysis is transference (and countertransference), which sort of presumes relational approach.

Anyway, if you have this opportunity and you are interested in that then I would say that give it a try and you will find yourself whether psychoanalysis is something that suits you or not.