Need advice about trading in a TT that has been in accident

I'd only add the caveat there's only a "choice" to disclose such info if the insurance company simply paid off for the repairs, rig remaining in your possession/name throughout.

If instead they "totaled" it and gave you some kind of cash payoff and you bought it back/repaired it yourself, you'd be smartest to disclose when you trade/sell.

In that case, it will show up in the rig's paperwork and if you don't reveal to whoever you're dealing with you could wind up in trouble.