Salaam sister,
As a Muslim brother, it is alarming that boys are asking for photos of you and trying to chat with you and not meet your parents. I must say, Masha'Allah for keeping strong and not giving in to any of their demands. Most men are, and take it from me, animals. They do not think about other women's well-being. Even if many claim to be Muslim, their actions say otherwise. They could be good in many other ways, but when it comes to women, they think they can be lax.
As for living in a Muslim country, what about a Mosque where there are general congregations? Perhaps your parents can make friends with people and find out if the Mosque is helping young people find suitable spouses for marriage. Your parents should see if they can be up front somehow and ask people directly. I have heard of parents doing this, especially from the women's side, who ask my mom about my brother and I. So being upfront is not a bad thing, it shows how serious you are about finding someone.
I don't know about websites you can use. To be honest, websites attract a lot of evil people, so my advice is to get a consensus from people who have used a particular website to find actual marriage partners that have successful stories. Maybe if you make a separate post, then you can ask about that specifically, and others on the forum can help you out in this way.
And please, please be careful of people in other families who might try to mislead you. Be suspicious if things seem too perfect about a man. No one is too good to be true, so always be very careful about the information people give to you about a man, and inquire about your suitors' personality. Many marriages break apart or are difficult for some women to bear if their spouse is not nice, is harsh and is too demanding. I have seen how men portray themselves in one way, then they are found to be completely different when they become married.
You have been going about things the right way so far, your parents do have to handle things because they have to contact the guy's parents so that you can meet with others around you. The same options which are available to girls are the same as well for guys - it is a two-way street. I won't lie to you, it will be difficult to find someone. So keep praying and ask Allah for signs about who is best for you. Perhaps He will give you a sign about someone or indicate who is right or you through a dream somehow. I have seen this happen on lots of occasions, so if anyone tells you otherwise, don't listen to them, because they don't know what they're talking about. I know, and the people who have shared their stories with me know as well.