What is the ruling on dealing with a young man who proposes marriage via social media, given my desire to consider the matter?

There is no harm in providing the house address to someone who wishes to propose for marriage, but one must be careful not to go too far in corresponding or speaking with the suitor. If he approaches the guardians and they are pleased with his دين (religious commitment) and character, and they seek Allah's guidance (istikharah), then you should agree to his request. A Muslim woman should avoid mixed-gender websites and forums, and be wary of the dangers of the internet, especially where temptations and corruption are prevalent.