I think trying to do the while thing by yourself, including traveling, would be a mistake. It might be possible, but not ideal.
I travelled, had my wife with me, and I don't know if I could have done it without her. Having her there was not just helpful due to being weak after surgery, but emotionally it was very nice to have someone close to you there. If you aren't married, any family member, significant other, or close friend would be a big morale booster!
Logistics wise, there were a lot of things that were hard to do after surgery, and having assistance was great. At the airport, if you leave within a week of surgery, you will likely be on two crutches...who will carry your luggage? You can get curbside check in, but it's just easier if someone carries for you.
Refilling my ice machine was something my wife did for me a lot in the beginning. You get hooked up to the ice machine, your leg is tired, and while you could disconnect yourself, refill it yourself, etc.... It's a lot easier if someone does it for you.
I didn't drive for a week or two after my surgery. I could have driven sooner, but just didn't want to. My incision was sore, and being a passenger allowed me more freedom to move the seat further back, recline, and move around to alleviate pressure on it. If I was driving I wouldn't have been able to do that.
If you have to do it solo, I think it's possible, but I wouldn't recommend it.
I have to admit, having my wife there was a huge help for me... In so many ways. Even big boys sometimes need someone there to hold their hand!
Good luck!