Your original post said "I," so I got the impression that you would be alone. If you are traveling alone, I would advise you to recover for at least two days unless you are pretty tough. I am certain that I would not have been able to handle extensive travel the same day or the next day. Not on my own.
The second day, too, would have been difficult under such circumstances.
If you have a companion who can handle everything logistical, then leaving almost immediately might be worth it for you. You will likely be pretty unhappy, but if you're like a lot of us, you wouldn't sleep through the night without interruption anyway. Most of my sleep the first couple of days was just dozing throughout the day and night. You can do that on the plane unless you are seated next to babies or serious ->-bleeped-<-s. And one advantage of a plane is that you actually CAN'T sleep in a bed, so you probably won't stress your incisions while you sleep semi-upright.
Remember, too, that movement will be limited. The last time I was on a plane was years and years ago. Are disabled toilets standard equipment nowadays? You might have a hard time in one of those little airplane toilets, but a bathroom for the disabled would give you room to twist in weird ways to reach the toilet paper and so forth. In addition, you or somebody else would need to empty your drains at some point, but you should be able to coordinate that so that you do it on the ground or even wait until you get home.
It sounds like a stretch to me, but I have heard that people tend to heal better in familiar, comfortable surroundings. In other words, home.