I don't know of any way you can do it as you have neither root access to the remote server nor a local mysql installation.
I would suggest that you install mysql on your local machine (very easy to do) and then you will need to read up on how to create the database and then copy the table files in.
If you do not want to do this, then you could try contacting your host to see if they will do it for you on the remote machine. They might do it, but it will be expensive.
The only other option is to send me (or someone else on here) the tbl files and we could do it for you, but then you have a security risk in allowing us access to your db.
Up to you.