All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
It is a usual tradition that it is a man who proposes to a girl to marry her and not the other way round. Allah Says (what means): {…then marry those that please you of [other] women.} [Quran 4:3] Furthermore, the Prophet said: “So choose the religious one, you will prosper.” [Al-Bukhari and Muslim]
Therefore, it is the man who usually proposes to the woman and not the woman who proposes to the man. However, her guardian may look for a pious and righteous husband for her, who will help her to obey her Lord and who will respect her dignity and not humiliate her. So, it is permissible for him (guardian) to propose his daughter for a pious person to marry her. Ibn Umar narrated that when Hafsah, the daughter of ‘Umar ibn Al-Khattaab became a widow from her husband Khunays ibn Hudhaafah As-Sahmi, who was one of the companions of the Prophet and who fought in the battle of Badr and died in Madeenah, ‘Umar met 'Uthman ibn 'Affaan and he proposed Hafsah to him saying, “If you wish, I will marry off Hafsah to you.” On that, ‘Uthmaan said, “I will think it over.” He waited for few days and then he met ‘Umar and told him “I am of the opinion that I shall not marry at present.” Then he [‘Umar] met Abu Bakr and said, “if you wish, I will marry off Hafsa to you.” [Al-Bukhari]
Therefore, if your father does this, then all praise be to Allah. Otherwise, you may remind him, even by giving him a hint, that a daughter needs a pious husband and tell him that ‘Umar did so and so for his daughter. If you are embarrassed from doing so, then you may tell your mother or any female relative or any other trustworthy Mahram about this matter. You may speak to any one of them with whom you are not embarrassed to talk about such matters so that they may look for a pious husband for you or expose the matter to your father without hurting you.
You should know that the acquaintance and meetings between boys and girls before marriage is not permissible, so you should not resort to it because it includes forbidden looking and forbidden seclusion and other matters that Allah has forbidden.
on the other hand, if it is not possible to let your father know about this matter by the means which we already discussed, then you may contact the sites that deal with trustworthy marriages and who are concerned with marrying young men and young women.
Finally, you should supplicate Allah to bless you with a pious husband.
Allah knows best.