I’ve encountered the same problem with our team. We’re working in my basement where we have a 1940’s Boice-Crane drill press and several other machines handed down to me from my grandfather. It has a 1/2" chuck and the speed can be varied over a wide range.
Here’s what’s worked for me…
We have two adjustable reamers – size “G” for the .875" holes, and size “I” for the 1.125"s. Along with those we have two reduced-shank drill bits - 55/64" and 1 7/16". You can pay $$$ and get these at someplace like McMasters or you can do what I did and pay a lot less on ebay or grizzly.com. So far the imported tools are working out OK.
Clamp the workpiece very securely and - as was recommended above - drill a 1/64 undersize hole. You’ll need to set your drill press to turn at two or three hundred RPM and you may want to start with a pilot hole. Go slowly when drilling the hole.
The reamer will be too big to chuck in the drill press, but you don’t want to do that anyway. Manual reaming is the way to go here. Normally you’d use a large - and expensive - tap wrench to turn the reamer after inserting it in the drilled hole. But, you’ve already got a handle in the form of the rail you’re working on, so why not use that?
Clamp the square end of the reamer in a vise so the reamer points up. Now you can easily adjust the reamer so the cutting diameter is a few thousands less than the bearing diameter - use a micrometer or caliper to check the adjustment. Then with the reamer still clamped in the vise lower the rail onto the reamer turning the rail in the cutting direction only. This will only work, of course if you’re making two holes all the way through both sides of the rail. The advantage is that the two holes will help you keep the rail perpendicular to the reamer. Unclamp the reamer from the vise to remove the rail from the bottom when you’re done reaming.
I found that one reamer pass with the 1/64 undersized hole seemed to work well.
It’s a trial and error process to get the best reamer adjustment. Test by installing the bearing, then tweak the reamer adjustment and start over with a newly-drilled hole until you’ve got it right. If you go to a different material - polycarbonate, for example - you’ll need to re-adjust the reamer for that material.
Note that I’m a novice machinist and I’m no mechanical engineer, so take my advice with a grain of salt. 
Another option I like that I haven’t seen mentioned is a Greenlee chassis punch. They cost $$$, though. Also, like the hole cutters already mentioned, you end up with a loose bearing fit. If you want an interference fit you need a reamer (or one of the other options that require more sophisticated machinery).