Some thoughts from my Finnish friend:
From these 4 options I would definitely ditch the Remington and Browning.
The 700 Series are notoriously well know for being very noisy, while loading and reloading. Also at least here guys who have bought that rifle it pretty much stops working if your hunting in temperature under -10C, not problem in UK, but in Finland it is.
Browning's similar model is A-Bolt series, I would assume you mean those ones? Personally I like the design and the gun fits to your hand nicely, but very problematic is that after 3-5 rounds the barrel heats up quite drastically and shots are becoming more inaccurate. Some have complained that the trigger is too hard to pull and has to be manually adjusted.
Howa guns have been popular amongst people who do lot of practical shooting (long range shooting) in the range here in Helsinki area and I hear lots of praises about their accuracy. Personally I have not tested Howa rifle's.
I personally have Tikka T3 .243 (
http://www.tikka.fi/t3models.php?litess), I would not buy the wooden version just because it looks boring and SS is lighter to carry in the woods. I'm using my T3 mostly for deer and birds with Docter 8x56 scope. Combination is very accurate up to 200 meters on range with either Sako Range or Norma Jaktmatch bullets, 3-5 shots can fit into area of 3 cm.
Whatever you do I would recommend Tikka T3 or Howa