So, i got the Corpus. It appers i have had the vampirism in latent stage, too - just missed the warning, seems. So on second day i slept and awoke as a vampire.
I do not care about being vampire, so went stright to cure that. Corpus had to wait. I managed to do it during a day, now i'm clear (with Corpus still here). Of course, there was a (noticable) bit of alchemy, and i was wearing the Daedric Towershield enchanted with Strength and, naturally, the Fists of Randagulf, too. To my suurprise, after i was back to normal my strength was 296
P.S. Have you known that Restore Atribute spells (at least from enchanted item) may negate the Corpus effects temporary? I hadn't