I completely agree with mmckenna.
My post assumes you are set on keeping those two old antennas with no plans to replace either of them. If that is true, then you may as well stick with 75 ohm and F connectors the whole way through, rather than degrade your signal even further by using adapters. Let's be honest, the very fact that those antennas have baluns and F connectors is probably the weakest link in the chain at this point.
If you think you'll replace those antennas at any point, then mmckenna is spot on. Go back to my original LMR-400/LMR-240 suggestion and keep it 50 ohm with standard RF connectors, using an adapter to get from N to F at the antenna end of things.
I actually browsed around and found an F female with a crimp/solder-on pin. This means that the center conductor of at least one side of the cable will not just be inserted into another female pin and just rely on spring-loaded contact, but will be a much stronger/solid connection. Now, whether or not they make these for RG-11 is another story but you got me thinking...!
Again, not to be a jerk about it, but you're really nitpicking here. If we were talking about high quality components throughout, I would be inclined to agree with you. The fact is, you're talking about old antennas with baluns and F connectors (as I already pointed out, the weakest link in the chain and the most lossy part of the entire system), going into 75 ohm coax with F connectors, to a consumer grade scanner. You are not going to notice one bit of difference between an F-female connector versus an F-female to F-female adapter.
If you're truly serious about designing an antenna system that will minimize as much loss as possible, you should start with antennas that have N connectors, and get them out of the attic. You've got more loss from those two factors than you would overcome with the best coax and connectors.