You likely know this. The blade TPI & width is dependent on the thickness of the wood you are cutting. If you cut thicker wood, you need a 3 or 4 TPI blade and cut slowly. A narrow blade with 10 to 16 TPI will cut 3/4" easily. The higher the TPI the slower you need to cut and the thicker the wood, the slower you need to cut. If you are going to replace the tires, look for polyurethane tires that work better and are more resilient.
Pay attention to the blade temperature! I once melted the tires and ruined the blade in my saw because I was too lazy to change the blade. It was a hard piece of purple-heart abut 4" thick. Lesson learned!
I have on occasion used a "radial" method to cut a very thick blank. Mark the diameter of the blank. Then cut straight in from the edge. Stop when you reach the mark. STOP the band saw! Make 8 of these radial cuts and then cut each discard loose. This is commonly used in metal working. It does take longer and you may have those saw cuts to remove when you start turning the blank.