Do you have access to a densitormer? If you don't have access, I don't, I use a method that was taught to me by the sergeant in charge of the Air Force photo unit I was assigned to in the early 70s. This method is more complex than most but it has always worked for me. I set up a test scene in which I create both high lights and shadows with a person standing with a gray card, I include a large swath of both black and white fabric. I shoot the test scene from ISO 25 to 3200.
Before I develop the test roll I test my paper with a kodak projection test scale. I use it as a step wedge. I expose a number to sheets starting at 2 seconds and increase the time by 4 seconds, I record the time on the back of each test with a pencil. So I have a test at 2 seconds, 6, 10,14,18.22.26,30. I use grade 2 paper for my condenser head and grade 3 for my cold light. I set the enlarger up with a clear strip of film to compensate for base fog and the hight so that light is about the size of my contact page or 8X10. I develop in my standard paper developer for 2 mints. What I am looking for is a test print that gives me max black and good separation, the test strip should look like the zone system's 10 zones. Once I find the time that gives the best black and separation I may adjust the time with the 4 second block and the paper development time to give a cripst white in zone IX and X.
Then I contact print my test roll or sheets. I print the contact sheet at the same I used for my test print. Wash and dry then look for the shadow details. Find the exposure that gives you what you think is good zone III then look at the highlights. If the high lights are blown out you need to decrease development time, if muddy increase the development time. I run a second roll of film using the ISO I chose and in dark room cut the film in the strips of 7 or 8 negatives and develop each strip either increasing the time or decreasing the time in 10% increments and then contact print these test rolls until you get zone III shadow detail and zone VIII/IV high lights. You should be able to take that negative and print it at the same time you exposed the contact sheet and get a good working 8X10 print.
You can save your self a lot time using a desnitomer. With a desnitormer looking for Zone III is subjective.