Just get a gray scale, like the Kodak targets, and photograph those. That will immediately tell you what you should do with your development and printing. Anything else is guess work.
When I try to figure out what a film is doing when I push it, I first run a roll on the Kodak targets. When Tmax 400 is pushed to 1600, what is lost? What is lost at 3200? What should be placed where, and when? The targets immediately give you the correct answer. What grade of paper? Use a target, and then you'll always know the correct answer.