gcsass, it's explained pretty well in Section 8 of the contract-
Section 8 - Deadheading
4. Class of Service for Commercial Deadhead Travel
Requirements regarding class of service shall apply when the deadhead is scheduled...
a. Deadhead travel shall be booked in coach class unless a higher class of service is authorized.
b. A class of service higher than coach shall be authorized if:
i. a deadhead exceeds 5 scheduled block hours; or
ii. a deadhead is included in a single duty period exceeding 11:30; or
iii. the scheduled block hours of a revenue flight plus the scheduled block hours of a deadhead in a single duty period exceed 8 hours.
C. Deviation From Scheduled Deadhead
3. Deviation Options and Qualifying Expenses
Subject to the limitations and reporting provisions in Section 8.C.4. and C.5. (below), a pilot's air travel, train travel, surface transportation, hotel use, parking and non-taxable per diem are allowable/reimbursable expenses as provided in this paragraph.
a. Air Travel
i. In the following circumstances, air travel expenses are allowable/reimbursable:
ii. Air travel expenses shall be limited to the accepted fare for coach class unless the deviation flight would qualify for a higher class of service under Section 8.A.4.b.
So, yes, you can book in first class when deviating if: a) the deviation flight is scheduled over 5 block hours, b) any two or more flights (any combination of passenger or Fedex operating or jumpseating) in the same duty period add up to over 8 scheduled block hours, or c) your total duty period for any combination of flights mentioned above exceed 11:30 duty hours (don't forget the 1 hour prior show for the first flight).