A couple of things to think about...
Getting permission to modify -anything- in an appartment complex will -not- be easy, don't count on it. A -very- compromised antenna is certainly do-able, just not always very practical. And the biggy, you will interfere with the other tenants (another 'count on it'). The rail-gutter routing of the feed line is a -good- idea! If there's something hanging in the breeze, some one -is- going to pull on it to see what happens! Loading the gutters is an option too. Trim the grass around the bottom of -all- down spouts (grass and who knows what else). Then, if they are metal, use an alligator-clip to connect to one of them. And probably the "best" suggestion is to use an antenna on your vehicle. Use a 'temporary' lead out to it. If you can think of some weird/odd/cheap-and-easy idea, give it a shot, who knows? Good luck.