My daughter has two large field trips this year with school. Are the base costs (the actual fee to participate) tax deductible? One is out of state and would require a plane ticket to be purchased for

In general, it is unlikely unless it is directly related to her degree program. 

Click the link to read more details from the IRS, Qualified Education Expenses:

Expenses that Do Not Qualify

Even if you pay the following expenses to enroll or attend the school, the following are not qualified education expenses:

• Room and board
• Insurance
• Medical expenses (including student health fees)
• Transportation
• Similar personal, living or family expenses

 

Sports, games, hobbies or non-credit course

Expenses for sports, games, hobbies or non-credit courses do not qualify for the education credits or tuition and fees deduction, except when the course or activity is part of the student’s degree program.

Click the link for more information about education credits.