First, you need to copy and past from a Calvinist website a definition of "Limited Atonement." Otherwise they claim your view is not correct. It is a ploy.
Next, you need to make clear God desires all persons to be saved, according to His redemption plan. Thus only those whose faith He credits as righteous are saved, but the opportunity for salvation is provided by Christ being the propitiation for the sin of the whole world, 1 John 2:2.
Next, you must address the idea that our sin burden was removed, not when Christ died, but when God transferred us into Christ.
You should consider your efforts successful when you crystallize your understanding as being consistent with all scripture.
For example if those to be saved had been chosen individually before creation, why does scripture say those never to be saved were bought by the blood of Jesus?