2Th 2:9 KJV - [Even him], whose coming is after the working of Satan with all power and signs and lying wonders,
2Th 2:10 KJV - And with all deceivableness of unrighteousness in them that perish; because they received not the love of the truth, that they might be saved.
2Th 2:11 KJV - And for this cause God shall send them strong delusion, that they should believe a lie:
2Th 2:12 KJV - That they all might be damned who believed not the truth, but had pleasure in unrighteousness.
I appreciate the sentiment you display in what you wrote but, according to God's Word, those loved ones that have already heard the Truth of the gospel and rejected it will not be able to come to salvation because they will be given a delusion by God that will make it impossible for them to believe unto salvation. We all know people, I'm sure, that have heard and rejected the Truth. I have a sister in that predicament. As long as the rapture has not happened, I can hope that she will come to Jesus. But I am required to believe what God says. I cannot pretend something is true when it is not. If you want your family to be saved, and I'm speaking this to myself also, you must share the truth now. Thinking that they will come to God because they remember you telling them about the rapture simply won't work. God will only save those in the tribulation that have never heard the gospel. It's sad to think about but it's the truth of the matter and the truth is what counts. If we tell people, "Don't worry, your loved ones can get saved after the rapture", and we know that they have heard the gospel, we are proclaiming something that is diametrically opposed to what God says.