Your 62gr max seems to have come from the online Nosler reloading info, that's different than Nosler's #6 reloading manual, it recommends a max of 61gr. The difference is that it seems that the online version is providing powder charge weights for a broader spectrum of bullets (175gr to 180gr) while the book specifically lists their 180gr bullets.
Your load is right at the top end and I would recommend backing off a little so that your pressures wont be over the SAAMI max when temperatures go up during the summer. I would also warn you to not change cartridge cases unless you know that the case has equal or slightly more volume than the ones you are currently using.
Nosler's reloading manual (the actual book and not the online version) shows a max load of 61gr of RL22 for the 30-06 using their 180gr Accubond in a 24" barrel and an OAL of 3.340". The Nosler book manual recommends a powder charge weight of 57gr for best accuracy (approx 2682 fps).
Also, in regards to the details that I mentioned...
When reloading you need to pay attention to the details of loads listed in reloading manuals. Slight differences in load recipes can make for big changes in pressures and velocities.
- Different brands of bullets of the same weight will have different dimensions which will create differences in pressures and velocities. The 180gr Speer is far shorter than the 180gr Accubond. That's why I like to use the reloading manual that matches the brand of bullet that I'm using.
- Different brands of cases will have different volumes which will create differences in pressures and velocities.
- Different cartridge overall lengths will change pressures and velocities.
Comparing data from different sources doesn't mean much if you don't use the same cartridge components and OAL dimensions, the pressures and velocities aren't directly comparable.
Using QuickLoad it looks like Alliant most likely developed their load data using a 20" barrel; it's really impossible to estimate safe pressures by comparing their 20" muzzle velocity info to the muzzle velocity of a 24.5" barrel.