I think most of the mainstream American pulp heroes are not p.d. so I'll leave that to see if anyone else can help. But, all is not lost. In the story papers section, you'll find 3 episodes of The Black Whip, British masked mystery man. Have a look here - it's the first 3 books on the list and he's cover featured on the 2nd. one:-
https://comicbookplus.com/?cid=2295https://comicbookplus.com/?dlid=31027For real pulp thrilling crime with superb, atmospheric, moody illustrations, I suggest The Thriller and you can find some examples here:-
https://comicbookplus.com/?cid=740Union Jack was a weekly paper featuring the adventures of the world's greatest detective, Sexton Blake and he is occasionally paired up with, or fighting against, Waldo the Wonder Man. :-
https://comicbookplus.com/?cid=732Perhaps not exactly what you were after but some thrilling reading nevertheless. I'd be curious to hear how you get on, even if you you think it's all rubbish.