Bonded title is pretty easy where I live.
Having to fight similar battles here recently I will suggest this,
Is the courthouse closed where the original title was issued?
If so check their website, there may be a mail in process for a replacement title. They will check the VIN of course but remember they are not handwriting experts, and most of them hate their job so they are not going to go out or their way to prove you wrong or doing anything fraudulent.
Otherwise I went through the bonded title process and where I live it was easy but slow process.
First you fill out an application online, send pictures and bill of sale.
Next they inspect it to verify the VIN. They called me and told me where to be and when. Officer didn't even inspect, he looked at the VIN, which neither of us could find, took a picture and he was done, said we will contact you.
Then they tell you how much to get a bond for, in my case it was $3000. I contacted my state farm agent, took a week and cost $100 to get the bond. The registration office gives you paperwork you send to your bond agent, they fill it out and send it back to you.
Send it all off with registration fees to the treasurer and wait for your title and plates.
The process took me 2 months, assuming my plates show up this week like they said they would.
A bonded title is like any title you can sell it, whatever. after 3-5 years depending on county or state law they will send you a regular title that will not say bonded on it.
But bonded title does not affect a potential buyer, the bond is stating the YOU are responsible is someone else steps up asking for money, like mechanics lean or if it is stolen or some other crap.
That part would make me nervous, but my case was unique in that there was no VIN on the trailer I registered the state put a new VIN on it, so there is no way it could ever be traced if there was ever a lien or previous title issue.