Bloodscreams by Robert W. Walker seems like a possible match. Book 1, Vampire Dreams:
Abraham Stroud is many things: archeologist, psychic, and detective. But more than that, he's a man who sees past the deceptive reality of everyday life, into the dark shadows where the horrors of myth and nightmare dwell. His is a lonely battle against monsters no one else dares to believe in.
But you don't have to believe in vampires for them to tear you apart...
Book 3, Zombie Eyes:
It starts with a sacred crypt, dug centuries ago, discovered under Manhattan. Buried with it is a diabolical creature spreading a strange contagion, claiming its victims by the thousands. But the dead aren't staying dead for long... and only one man is qualified to brave the unstoppable zombie army.
...IN A CITY OF THE DAMNED
Psychic detective Abraham Stroud knows the origin of what festers in the unholy pit. And only he can battle the primeval horror as it prepares mankind for the ultimate sacrifice.
Just for the sake of completeness, the second book, Werewolf's Grief seems to be about werewolves, there's a short story involving Abraham in Party of 8: The 1 That Got Away, and a 5th book was released in 2015, The SubterraneanS
What is linked above are the 2010 re-rereleases, but the books were originally published under the pen name of Geoffrey Caine in the 1990s as Curse of the Vampire, Wake of the Werewolf, and Legion of the Dead.