Well in terms of pure efficiency, Hyur Highlander wins. Bow damage is based off STR and Accuracy off DEX so you need both of those stats to be high. Add both together since both stats are very important, puts most races in the 20s or maybe 30. Sun Seeker Miqo's get 33 str/dex combined, as do Highlanders. The big difference is that highlanders get 2 more vitality and less caster stats you don't care about anyway.
Endgame it won't make a huge difference what race you go, but highlanders do have the highest str and still very very good dex, so they will still do slightly more damage even endgame, in addition to better hp (which matters a bit more since you want to add as little to VIT as possible).