Reincarnation does not negate a true understanding of the Bible's teachings concerning Heaven and Hell.
Given the God of Love that we perceive in Jesus Christ, Hell cannot be an eternal destiny awaiting individuals who have failed to receive Him.
Because God is Love, He will not cease reaching out for the lost children, the lost sheep of His fold (Luke 15:3-7). God's plan for the fullness of time is to bring all of reality into the Body of Christ Love (Ephesians 1:10).
Heaven and Hell are both experienced in intensity and degree to the extent that we come closer to or fall further away from the Spirit of Divine Love in the salvific reincarnation process of resurrection to full and true life!
When has an individual had sufficient opportunity to be saved and lived long enough to be judged? What is just and fair about some persons having the opportunity of many years while others have but a few? What of those who die in infancy or during childhood? What of those who suffer severe disabilities and other hardships? (ETC.)
Only something like a Christian understanding of reincarnation can give us a portrait of reality entirely consistent with the God of Love that we see in Jesus Christ!