Not every felony is a violent offense. A felony conviction after trial, even for a non-violent crime, would subject you to at least some incarceration, because you'd have been proved guilty beyond a reasonable doubt. Depending upon the evidence that came out at the trial, that period of incarceration could be years. So a plea to probation, while expensive, at least is a guarantee that you will not go to prison.
It is very difficult, nearly impossible to take your plea back once you have been sentenced. That's because at the time of a guilty plea, the judge does his best to make an in-court record to make the plea airtight in order to avoid just this situation.
Your own plea allocution would be used against you to show that you made a knowing and voluntary waiver of your rights in order to accept the probation deal.
You also put on the record that you were actually guilty of the charge. So you need a strong legal basis to succeed at a post conviction remedy. "Buyer's regret" is not a legal basis to take a plea back. You'd need to have a Constitutional argument or an argument that you were denied due process of law.
Finally, there's also one more thing you'd have to consider. Let's assume for the moment, just for the sake of argument, that you can get your plea back. The case goes back to what it was before. You will have to go to trial because in my experience, the state won't offer you another deal. And the judge cannot reduce the charges. So, you will be going to trial on the felony, which is exactly what you most wanted to avoid in the first place.