There is no "earthly hope" as such in the NT, aside from the apocalyptic scenario in Revelation that sort of merges heaven with earth at the end of time. More to the point, there is no division of hopes or destinies between faithful Christians -- all together share the same hope and reward. Here are some relevant texts:
"Make every effort to keep the unity of the Spirit through the bond of peace. There is one body and one Spirit -- just as you were called to one hope when you were called: one Lord, one faith, one baptism; one God and Father of all, who is over all and through all and in all. But to each one of us grace has been given as Christ apportioned it.... so that the body of Christ may be built up until we all reach unity in the faith and in the knowledge of the Son of God and become mature, attaining to the whole measure of the fullness of Christ.... And so God raised us up with Christ and seated us with him in the heavenly realms in Christ Jesus, in order that in the coming ages he might show the incomparable riches of his grace, expressed in his kindness to us in Christ Jesus." (Ephesians 4:3-7, 2:6-7).
"Holy brothers, who share in the heavenly calling, fix your thoughts on Jesus, the apostle and high priest whom we confess....[Abraham] was looking forward to the city with foundations, whose architect and builder is God...All these [faithful men of old] were still living by faith when they died. They did not receive the things promised; they only saw them and welcomed them from a distance.... Instead, they were longing for a better country -- a heavenly one. Therefore God is not ashamed to be called their God, for he has prepared a city for them....And so you have come to Mount Zion, to the heavenly Jerusalem, the city of the living God. You have come to thousands upon thousands of angels in joyful assembly, to the church of the firstborn, whose names are written in heaven. You have come to God, the judge of all men, to the spirits of righteous men made perfect, to Jesus the mediator of a new covenant...For here we do not have an enduring city, but we are looking for the city that is to come" (Hebrews 3:1, 11:10, 13-16, 12:22-24, 13:14).
"I want to know Christ and the power of his resurrection and the fellowship of sharing in his sufferings, becoming like him in his death, and so, somehow, to attain to the resurrection from the dead. Not that I have already obtained all this, or have already been made perfect, but I press on to take hold of that for which Christ Jesus took hold of me ... straining toward what is ahead, I press on toward the goal to win the prize for which God has called me heavenward in Christ Jesus. All of us who are mature should take such a view of things. And if on some point you think differently, that too God will make clear to you. Only let us live up to what we have already attained. Join with others in following my example, brothers, and take note of those who live according to the pattern we gave you. For, as I have often told you before and now say again even with tears, many live as enemies of the cross of Christ. Their destiny is destruction, their god is their stomach, and their glory is in their shame. Their mind is on earthly things. But our citizenship is in heaven. And we eagerly await a Savior from there, the Lord Jesus Christ, who, by the power that enables him to bring everything under his control, will transform our lowly bodies so that they will be like his glorious body" (Philippians 3:10-21).
"But thanks be to God, who always leads us in triumphal procession in Christ and through us spreads everywhere the fragrance of the knowledge of him. For we are to God the aroma of Christ among those who are being saved and those who are perishing. To the one we are the smell of death; to the other, the fragrance of life....He has made us competent as ministers of a new covenant, and since we have such a hope, we are very bold. We are not like Moses, who would put a veil over his face to keep the Israelites from gazing at it while the radiance was fading away. We, who with unveiled faces all reflect the Lord's glory, are being transformed into his likeness with ever-increasing glory, which comes from the Lord, who is the Spirit...For our light and momentary troubles are achieving for us an eternal glory that far outweighs them all. So we fix our eyes not on what is seen, but on what is unseen. For what is seen is temporary, but what is unseen is eternal... We have a building from God, an eternal house in heaven, not built by human hands. Meanwhile we groan, longing to be clothed with our heavenly dwelling, for while we are in this tent, we groan and are burdened, because we do not wish to be unclothed but to be clothed with our heavenly dwelling" (2 Corinthians 2:14-16, 3:12-18, 4:17-18, 5:1-4).
"You are all sons of God through faith in Christ Jesus, for all of you who were baptized into Christ have clothed yourselves with Christ. There is neither Jew nor Greek, slave nor free, male nor female, for you are all one in Christ Jesus. If you belong to Christ, then you are Abraham's seed, and heirs according to the promise...God sent his Son, born of a woman, born under law, to redeem those under law, that we might receive the full rights of sons...So you are no longer a slave, but a son; and since you are a son, God has made you also an heir." (Galatians 3:15-29, 4:4-7).