Yeah, for fitting a stick tang handle there is a better way. It does depend whether it will be a blind hole or not.
Either way, mark out the thickness and height of the tang where you want it placed on the end of your block. If it's a blind hole type handle, mark out the length on the side of the piece. Mark out the intended line of the hole, down the side of the piece. Figure out what drill bit to use- it should be as wide as the tang's thickness. Like drilling a guard, overlap holes slightly; usually two or three holes.
Clamp the handle block in a drill press vise, check to make sure it's clamped so that the drill bit is in line with your intended hole one way. Looking from the other way it should be straight up and down, in line with the blade and handle.
Drill carefully. After the holes are drilled, you can hog out much of the web by wallowing the bit around in the holes. You can then use a rough file, a modified drywall saw, a very small chisel, or better yet, a handle broach to finish opening up the web and square the inside corners.
If you have an oversize fit, that's not the end of the world. As long as you can position the handle how you want it to be, and clamp it there while the epoxy sets, it will be bedded by the epoxy when finished.
This is just a very simple rundown. It's obviously more complex than this, research it a bit- there has to be material in the stickies about drilling and fitting for a hidden tang.
Or, go watch some knifemaking vids on YouTube. I'll bet someone on there is doing this.
You sure you don't want to make knives from annealed stock?