I have a relatively similar signal path. Several UHF stations are reachable via 2 edge paths and 24 miles distant. To get acceptable reception I am using an Antennas Direct XG-91 antenna which is one of the largest UHF only antennas on the market. My antenna is currently in the attic, as a result I suffer occasional signal drop-outs when the roof is wet. (Welcome to Seattle)
To improve my situation I am in the process of moving this antenna to 9' above the roof peak were I will still have at least a 1 edge path but eliminate the building penetration loss. I would go higher if I didn't have a wife, neighbors and local building codes enforced by inspectors who go hungry if they don't write enough citations.
I am fairly confident that an indoor antenna, well placed and well aimed, will only offer reception of UHF 26 in your case. (It's close and on a line of sight path). Every other station listed on your report is obstructed or too far away.
Can you do a temporary, ground mounted, guyed tower to avoid touching the rented roof? If so, re-run you signal analysis for the exact location and antenna elevation - from that we can suggest an antenna, maybe one that is a bit less of a monster.