Drill the hole with a smaller bit(s) (1" e.g.), then change the bit to the final diameter, without changing any setting. Dust extraction helps too.

Thanks for the help/comments.

After sleeping on it I was thinking my sample a piece of ash that I had on hand. It is a cutoff from a kiln dried baseball bat blank that has been sitting around for several years. So, this wood is probably MUCH harder than the real thing will be.

One more option is using a router bit in the drill press at high speed.

That way the momentum of the drill spindle should be able to handle any "bumps" of resistance better and the drill will be able to "flex its muscles" unlike at low speed where it is torque-limited.

I used that a couple times with a power drill in a press when the drill could not handle the forces needed to drive a Forstner at low speed. At 3000 rpm the router bit was still under its optimal speed, but enough to work out when the bit is sharp.

ADD:
One more method I use /with forstners/ is to set the drill to top speed and quickly "plunge" into the material, knowing full well the bit will be stopped fast. But not before it manages a couple cuts just from its sheer momentum.
Given the bit is stopped after only a couple rotations in a cut, it does not overheat from the overly high speed. Rinse and repeat until I get the depth I need. Requires stable material holding though to have the "plunges" always in the same place and some patience to not overheat the bit by too-frequent plunges.