Necessity for the drain varies from person to person.
With your stats, your BMI puts you bordering on being overweight. I wonder why the doc is not doing lipo in addition to the TT. Did he suggest you lose weight prior to surgery?
If you would like to PM me your surgeon, I can give you some info if I am familiar with the doc.
I am an unpaid volunteer super moderator. I receive no remuneration from this site. Although I am a medical professional, any recommendations, statements, advice, or opinions I provide are mine, and mine alone. Consult carefully with the medical professional of your choice. All statements, recommendations, opinions, and advice expressed by me are mine personally – independent of the site and made as a forum member only – and do not necessarily reflect those of PlasticSurgerySpot.com.