I find nothing in the Bible to prevent you from having some of your organs removed from your body after your death and used to prolong the lives of others. Your daughter is certainly an example of its benefits.
In fact, I would encourage you to consider doing this (with the support of your family). Medical science has made many advances in this field in recent decades, and I have several friends who would have died without an organ transplant. Perhaps some day different methods will be developed, but for the present this is the best procedure in such cases -- and far too few organs are available.
You're right; the Bible tells us to respect our bodies and not misuse or harm them. God gave them to us, and we are to use them for His glory. This is especially true if we are Christians, for now God lives within us by His Holy Spirit. The Bible says, "Do you not know that your body is a temple of the Holy Spirit...? Therefore honor God with your body" (1 Corinthians 6:19--20). Allowing your organs to be used to prolong another person's life could, I believe, bring honor to God.
Some day we'll all die, and it's important to think about questions like this. But the greatest preparation you can make is to be certain of your salvation by giving your life to Jesus Christ -- who gave His life for you.