Absolutely the 140 in a premium bullet would be fine on smaller species and the bigger ones too. The 160 is merely I'd prefer for larger game - just a personal choice since you mentioned 2,700fps.

Given a free loading range, I'd choose a TSX or TTSX in 130 or 140 and drive it at 2,940fps or maybe over 3,000fps for the lighter one. Again a personal choice - not needed, but I merely prefer it. Mucho fun!, but then perhaps those longer range circumstances don't occur where you hail from.