The Count's likely objective is not to give his daughter in marriage to anyone he deems unworthy. And he is going to be actively skeptical of one or both suitor's worthiness (a common situation in story is where the Hero's opponent is considered acceptable and will win by default).
So I'd run it as both suitors against the Count (if both succeed, the highest level of success gets the girl, if both fail neither does) with the option of doing down each other rather than directly promoting your own case.
-- -- "The T'ang emperors were strong believers in the pills of immortality. More emperors died of poisoning from ingesting minerals in the T'ang than in any other dynasty" - Eva Wong _The Shambhala Guide to Taoism_ Paul K.
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