Sister, there are duas you can do. It's true that Allah tests the people as He says in the Quran that He will test the people and they shouldn't think that they will enter paradise without being tested. it's also true that conversion comes with many trials and hardships. this is because many people oppose islam and conversion to islam.
Pray that Allah eases your difficulties, makes your family see the truth of islam so that they can be your supporters. (it's strange that these same ppl claim to give you freedom and allow you to do whatever you want bt when you show an interest in islam they oppose you and start controlling you.)
you can say the followign duas: Rabbana la taj'alna fitnatan lizaalimeen - which means Oh Allah dont make us a trial for the cruel.
Also the last 3 verses of Surah Al-Baqara (2:284 - 286) preferably in arabic:
To Allah belongs whatever is in the heavens and whatever is in the earth. Whether you show what is within yourselves or conceal it, Allah will bring you to account for it. Then He will forgive whom He wills and punish whom He wills, and Allah is over all things competent.
The Messenger has believed in what was revealed to him from his Lord, and [so have] the believers. All of them have believed in Allah and His angels and His books and His messengers, [saying], "We make no distinction between any of His messengers." And they say, "We hear and we obey. [We seek] Your forgiveness, our Lord, and to You is the [final] destination."
Allah does not charge a soul except [with that within] its capacity. It will have [the consequence of] what [good] it has gained, and it will bear [the consequence of] what [evil] it has earned. "Our Lord, do not impose blame upon us if we have forgotten or erred. Our Lord, and lay not upon us a burden like that which You laid upon those before us. Our Lord, and burden us not with that which we have no ability to bear. And pardon us; and forgive us; and have mercy upon us. You are our protector, so give us victory over the disbelieving people."