The Bible doesn't show that God directed Elimelek to immigrate to Moab or whether Elimelek sought God's wisdom and direction before making his decision. Sometimes fear and worry (which stem from lack of faith or weak faith) lead people to take matters in their own hands (as in the case of Sarah taking Hagar to sleep with Abraham). Elimelek probably thought he was doing the right thing for his family. He probably didn't think long-term about Naomi possibly being left alone poor and isolated in a foreign, pagan land. He didn't know that both of his sons would die before his wife/their mom. A widow's plight in Biblical time is very difficult, especially for older widows who depend on their children for support.
God wants us to walk (live) by faith, not by sight. We are saved by grace alone through faith in Christ alone (Ephesians 2:8-9) and now we live by faith in Christ (Galatians 2:20). "Now faith is confidence in what we hope for and assurance about what we do not see...And without faith it is impossible to please God, because anyone who comes to Him must believe that He exists and that He rewards those who earnestly seek Him." (Hebrews 11:1, 6) Faith (trust, belief, conviction) in God as Creator and Ruler of all things, Provider and Giver of eternal life through Christ Jesus. Faith in Jesus Christ as Messiah, the only Way through Whom we can be saved. Whom or what you place your faith in is of utmost importance. You may have a strong faith in everything else but Christ, and yet perish. Authentic faith brings about conviction of God's truth, confidence (in God), courage, contentment, and comfort no matter what trials and troubles of life we may have to go through. Faith protects our hearts from doubting, fearing, worrying, and wandering. Faith also keeps us spiritually stable in spiritual warfare. Faith in God (of the Bible) is complete confidence/total trust in Who God is and what God does and that God will do what He will do when He wants to do and how He wants to do. We are sure of what we hope for and certain of what we do not see because of God alone Who is always faithful and unchangeable, all-powerful, all-knowing, and all-loving. We can rest in His love, grace, mercy, wisdom, power, goodness, faithfulness, and sovereignty. We trust God, His Word and His promises without terms. Faith is the belief that the thing God has said in His Word is true (God says it; I believe it) and that God will act according to His character/attributes and what He has said in His Word. God is both the Object and the Origin of our faith.
In this life's journey, we are to walk ("walking" indicates making progress and requires perseverance) by faith, not by what we see. Set your minds on things above, not on earthly things." (Colossians 3:2) It's really interesting to note that the Greek word for "sight" is eidos and the Greek word for "idol" is eidolon which is derived from eidos. Walking by faith and walking by sight do not mix. We have to choose either believing in, trusting in, and depending on God (walking by faith), or believing in, trusting in, and depending on selves and things of the world (walking by sight). The latter is idol (anything that we put in place of God).
"Faith will give us the perspective about life after death that the flesh can never do. The world walks by sight and so death to them is fearful and terrorizing." (Butler)