Can I Go to A Different Surgeon or Follow Ups/Post Surgery Complications If I Get My Surgery Out of the Country?

You are going to find it very difficult to find someone to manage any post-operative complications from surgery.  If you do have any problems, it might cost you a lot of money.  Therefore, I would highly recommend going to a Board Certified Plastic Surgeon in the U.S.

It is possibly cheaper to have surgery in another country and follow up here in the US, but medical tourism is not advised as if complications arise the physician who did the surgery (and knows what they did best) is not available. Personally I would charge you for each follow up visit and procedure necessary in the event of problems.  You would possibly end up paying more overall. Hopefully you have no problems and I wish you well. 

Having your surgery performed in a country we do not live is generally called medical tourism.  The appeal is that in some cases the procedures themselves can be less expensive because the standard of Medical Care may not be as strict outside of the United States.
The problem is that once you get home you do not have the benefit of your surgeons knowledge and expertise to treat you through the postoperative process and take care of any problems should they arise.
While in the short run it may save you money, if you do develop a complication or have a problem it can be far more expensive to take care of here in the United States.
If you do have a problem you certainly may be able to find a surgeon that will help you here in United States but the cost for treating a complication may vary.
I would strongly recommend you have your surgery performed by a Physician in your region who will be there for you if you have any postoperative concerns are issues.  I think it just makes better common sense.
 
Good luck.