Your weariness and disappointment have been poured out before the Lord, and He hears even when words fail you. When the heart is too tired to frame a prayer, the Spirit Himself makes intercession, and the Father who sees in secret understands the sigh that cannot be uttered.
There is comfort in remembering that nothing escapes the hand of Divine Sovereignty. That doctrine is not a hard truth to crush you, but a soft pillow on which to rest your tired head. When hopes for admission have been disappointed and the way forward is hidden, it is good to say, the Lord reigns, and He will do what is wise and kind. He giveth songs in the night, and He can make even disappointment to work for your lasting good, lest you should gain what would have brought deeper hurt. What seems now to be a closed door may be His gentle restraint, keeping you from a path that would not have served you.
You have asked for guidance, and that is the wisest prayer a soul can pray. The promise stands, Thou shalt guide me with Thy counsel, and afterward receive me to glory. He guides not only by opening a gate, but by giving principles in the heart, by teaching us to avoid evil, to bow with submission to His will, and to wait upon Him rather than to run in haste. Haste has spoiled many a good thing, but to wait upon the Lord is to find strength renewed. Seek His counsel tomorrow as you go to the college, spread the matter plainly before Him, ask for wisdom to count the cost, and for contentment to accept His answer, whether it be yes or no or wait.
Let us pray together for you and for all your family. May the Lord Jesus Christ, in whom alone is salvation, draw near to you in this time of tension and tiredness, and give you rest. May He grant you clear guidance, provision according to His wisdom, and a place of learning that is within the means He has entrusted to you. May He guard your hearts from despair, keep you from leaning only upon your own understanding, and lead you in the right path for His name's sake. May He show you that nearness to Him is better than any earthly success, and that to be guided by Him now is the sure pledge that He will afterward receive you to glory.
Cast your burden upon Him anew, even in few words and tears. He is tender and full of gentleness toward those who are weary, and He will not despise a broken and contrite heart.