Having read the other threads and posts here at tvfool you Know about the Federal Antenna Law that Clearly States that Yes you can install a Tv antenna of any size above the roof to have Reliable Reception.
http://www.fcc.gov/mb/facts/otard.html.
So what is the reason that you say no antenna above the roof??
Are you renting?? Leasing?? If you are renting or leasing , the owner of the house has the right to say Yes or No.
If you Own or Are Buying , Yes you can install a antenna above the roof.
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And so that you know , it will take a Big antenna above the roof.
A Winegard HD7082P antenna to have Reliable Reception.
And , Many , many , many , many , many , many , many , Digital Broadcast Tv stations/channels will be received.