Just a couple of things to note about doing this.
You will have to travel to some of the major cities
Start with Stuffing & Pie in SW
then Cranberries in IF
then Sweet Potato in Darn
then back to SW to hunt turkeys. (Or hunt some before leaving SW the 1st time)
The location specific ingredients are Conjured, so no mailing them or AHing them.
If you have a mage friend you can speed things up & they can be traded manually.
My bank alt I tested this on, was a hundred and something already in cooking.
She's now 300, Although Turkeys take you further the cooking trainer near the tables doesn't teach Master, so I'll need to go to Outlands or Northrend to go above 300.
Note: My alt is only Level 12, cooking doesn't have Level reqs, just cooking Reqs.
Edit: Master Training acquired - comical to see a Lv12 in Northrend, but 'twas the fastest way.
Time to go Turkey hunting....
Thay