As-salam-mu-alaikum ANONYMOUS sister,
If your parents and his parents are okay with it - then you should talk to him about matters that are important to you - if you can't even have a conversation with him - how do will you know if you are compatible? It's important to keep the conversation halal, however, there are important questions you must ask...
If you are embarassed by some of the questions, consider SMS/Text messaging the questions or using a proxy, that is, a brother or sister you trust to ask the questions on your behalf..
It's important to ask the "predefined" questions right away before you speak to him, consider a email Q&A session prior to talking to him.
Note: features like - he prays 5 times a day and he fasts! should not be attractions to you as this is an obligation of every Muslim, it is a sad day when these have become selling points for the other gender..
The purpose of marriage is to complete half your deen, and then to build the society by creating the next generation. If at the end of the conversation(s) you cannot determine or believe that this brother will not be suitable to take care of you nor can you see any elements of him being a good father for your future children - end the conversation and move on.
The topics should be about topics that are important to you and some of them could potentially be asked ahead of time:
What your the expectations of a husband
What is his expectation of a wife
how does he treat his mother, his sisters his nieces... it's a good indicator to how he will treat you as a lady.
Were are you going to live? for how long?
Working after marriage
Schooling after marriage
When to have kids - if he wants kids (if not > move on)
What type of schooling will they have?
If this approach scares off the brother, then he is not worthy of your intelligence - and thus your heart > how can he see your real beauty which is from within if he cannot answer a few simple questions?