It's rare to see a rifle shoot to same POI in a sled vs bipod, at least what I've seen. I would zero with method you're going to use.
If scope reticle is level to your barrel level like it should be, an anti-cant level would help you maintain that. The farther the shot, the farther off your POI will be. You can level your rifle, then level the reticle with a plumbob line.
If your scope is canted, anyone that shoots it will have same results, if that is the problem.
CA hasn't impressed me with their bedding process, but I'd pull everything apart and use an inch # torque wrench to verify the action screws are 50-65 inch pounds. Then check torque on scope base after you've cleaned action holes. Blue loctite the screws & torque to maker recommended torque value. Lastly, level scope and torque cap screws as rated (15-20 inch #), using loctite.
These are the basics, get them verified first. If this is beyond your comfort zone, get a "good" gunsmith to set things up and open barrel inlet to relieve the touching & check bedding.
If this does not improve your POI, have that smith find the problem and fix it or return to CA. A " true shooter" should find and fix the problem right away and have tools to do it. Guess that wasn't part of the school.
There's at least 100 people here that could find the problem in a few minutes, were they there in person.