Whatever court orders and/or conditions of your probation you have to follow, until you get through your probation period successfully, will be much easier to abide by now, than they will be later, should you decide to violate them and worry about the consequences in the future.
Another thing to consider is this: If you should happen to receive another charge for any offense, it is automatically a violation of your probation. If your current probation were to expire in say two years, then you would have two years of a VOP hanging over your head if you were to get in any other trouble.
However, if you decide to flee, your probation will not end in two years and depending on when you decide to return to finally take care of what you should be doing now, your probation clock will start all over again at that time. So if you decide to flee, you could have this probation hanging over your head for a very long time.
Another thing to consider is if you are arrested in the future and it is discovered that you violated your probation in Tn. by fleeing, a judge is not as likely to release you from custody on an OR or signed promise to appear, since you will then have a history of fleeing.
Bottom line, if you flee to Ohio, I promise you, you will live to regret it.
Also, you never know what will happen when you're picked up in Ohio, as Tn can extradite you if they have the time and want you bad enough. You just never know. They may not do it the first time Oh picks you up, or the second or the third, but the fourth time,,, they just may decide to come and get you...