Thanks for that input Justice. I don't think that removing the barrel would be advisable as you need to make sure it is in the same axis as the barrel channel.
Barrel harmonics can vary. I have a 31" unturned blank on a Rem 700 that is chambered in 6 XC that shoots tiny bug holes, Ezel tuner, 108g Bergers, H4350, R#17 with the Barrel completely free-floated. Have another 6 BRX that is the same with a 28" unturned blank, barrel completely free-floated on a 700. I have a 30", 243 AI turn neck, zero freebore, 12T Hart that liked to have 2" of the barrel supported with bedding. I assume that the bedding under the barrel is acting to "tune" the harmonics in some fashion. Unbedded barrel shot in the low 3's, and bedded barrel shot in the very low 2's and high 1's, RAS Tuner/Brake with 68g Berger, my own 70g Low Drag at 3850. Nosler 70g Ballistic tip and 70g TNT shoot in the 2's.
I am trying a different method now to see how it would work. The focus of the new method is to let the action float in the bedding, completely stress-free.
To begin with, before making modifications to the action area, I free-float the barrel. Next, I pour two pillars(pads) of bedding compound to support the barrel in the action's existing location. The poured pillars are about 10" or so apart. I bed these two pillars(pads), tightening down the action screws. Next, I install pillars in the stock and dig out material around the action in the stock to where NO material is touching the stock, neither are the pillars. The action is completely floating.
Next, I put the bedding material in the stock, insert the action into the bedding, and put large elastic bands around the forearm of the stock. This method uses the pillars to set the height of the action in the stock, with the pillars(pads) acting as a V Block. When the bands are tightened around the forearm, seating the barrel barely above the pillars, bedding material oozes out around the action and on top of the pillars. I do insert the action screws(Stock Makers Screws), start them in the threads, and that is all...this ensures alignment. I engage two threads on the Action screws(Stock Maker's screws).
When the action is removed from the bedding, the pillars that were poured to support the barrel are removed. It helps to put a piece of Thick packaging tape with some release agent on the tape the pillars for easy removal. Of course, a release agent is on the barrel when the pillars are poured.
Again, the pillars in the forearm act as a V Block allowing the action to float in the bedding without any stress at all.
I just finished my 22 PPC, 6 Dasher, and 280 AI using this method. The 22 PPC, Krieger 12T, is the most accurate rifle I have ever had in my hands, shooting groups in the zero's and ones, Stolle Panda. The 280 AI, Rem 700, X Caliber 9T barrel, started shooting tiny bug hole groups with fire-formed PMC 30/06 brass with 175g LRAB, imr 7828 with Fed 210's within 30 shots. I have not shot the Dasher with the Harrells tuner yet.
Some years ago, I read of this method in Precision Shooting Magazine, there was quite a discussion among a lot of benchrest gunsmiths of that time on the various Stress-Free bedding methods. One old gunsmith shared this method when he got terminal cancer, may God Rest his Soul.
After the bedding job and the gun assembled, I attached a magnetic base and indicator to the barrel, putting the tip of the indicator on the barrel....all 3 guns have zero .001 movement when tightening and loosening the front guard screw.
Lots of ways to skin a cat, this is just one tool in the toolbox. As long as you are checking the bedding job with the finger at the end of the forearm, pressing against the barrel, or a magnetic base attached to the barrel with its indicator needle on the stock, with either method showing zero movements when tightening/loosening that front guard screw, your method, whatever it is should be good to go. If you feel movement, give it it a skim coat. I have known several renowned gunsmiths that gave skim coats as a matter of practice, and these gunsmiths had a backlog of over a year, and that was 15+ years ago.
For the hobbyists doing their own bedding, the trick of tightening and loosening that front guard screw is a game changer in getting the most accuracy out of your outfit. Another game changer is bedding those aluminum bedding block stocks to get groups down in the very low 2's and smaller. Once in a while, I have got lucky with an Al bedding block stock, but these stocks are high-end stocks where special attention was given in the QC of how the machined blocks were machined. Some of the V Blocks in the stocks are machined incorrectly, and this is an understatement. Assume nothing, use the finger up against the barrel, and tighten and loosen the front guard screw. You can draw a line across the guard screw to get it back in the same position it was in when you started.