Back to the OPs question. I used to be a Browning guy, but many years ago on a 300 WM A-bolt my gunsmith found a 3" crack lengthwise down the bolt. Finally after a year pissing around with Browning Utah as Canada refused to service, I received a new A-Bolt. It remains today in the back of the vault, no more Browning for me. I am a total Remington guy so biased, I own no SPS or Remington's younger than 8 years. But do have more than I need and not as many as I want. My Remington 700 SS BDL has taken 4 of the big 5 and 6 of the dangerous 7 plus a ton of PG, I am a hunter not a PH so maybe my need in a rifle "should" be a little different than the PH. I see no real world benefit to CRF, and I can never remember reloading or topping up until the PH said to. The way I like it, so point is moot to me about DM, yes to topping up with mag inserted or not.
I notice that all 3 choices of your weapon have different safeties. Tang, wing and side 2 position lever. That scares me, I had a brain fart and got a few Tikka T3X's, taking the safety off to load/unload is against all my training so they sit beside the A-Bolt. For me the same safety and the familiarity among all my Rem 700 calibers makes me safer, faster, and more confident when stuff happens.
Cannot see a reason why new would be your only option. Since your hunt is not soon, your willing to wait till 2022 for the browning, maybe handle guns of the 3 on your list, then narrow it down to what YOU like. Then start a hunt for that specific gun, be it new or used. Start on this site for used, If I was a US resident I would be poorer.
Good luck with your quest, its all part of the fun of safari.
MB