DC has less line losses over great distances.
DC is only used for great distances because, it requires conversion from AC to DC back to AC. Conversion cost $ and has power losses.
With hundreds of miles of line the AC frequency has dv/dt (or capacitances) losses along with the line losses.
AC is much easier to correct for line voltage losses. Multi tap transformers.
When the above statements are considered we are talking hundreds of miles.
AC power transmission is used more often. AC is the way we use the power.
Now back to your question:
The remote distances most gennies are, the AC/DC is not the real issue.
People make the gennies output the voltage their system needs.
Rectification at the gennies allows two wire for the DC.
AC is (most designs I see here) 3 phase. Would require three wires... There are some single phase, which would then use two wires.
If your sending your power long distances, there are line losses I*I*R, when they are above 3-5% the wire size must be made greater or the voltage stepped up to reduce the current. Much easier to step up AC than DC.
The power math for 3 phase AC, the third wire allows you to carry about 57% (or is it 60%) more power. The wire can be thinner even with the three wires than the two wires carrying the same DC power (or single phase AC). Therefore 3 wires cost less. Copper cost.
You will note most high voltage Power lines are in threes. When only two lines, then they are most likely DC. You might be wondering why use DC? The voltage is very high 350KV, this easily makes up for the differences.
My personal choice would not put the rectifier in the gennies, one less thing to go wrong up there.
Have fun.