Both of your choices are very good rifles. Browning markets solid rifles, as does "Big Green". Sako makes an excellent rifle also but it is no better or worse than the other two as a hunting rifle. If the rifle is going to be an heirloom the Sako is the big winner. It is entirely up to you if it is worth the extra cost.
Of your two original choices I would pick the Remington, but would be extremely happy with either.