I see several issues with this, but lets tackle the select a target for a high wake escape!
Picking the star closest to your jump range, have obvious issues, especially when you get into the ships built for long jump ranges, as the number of systems to check could be huge. So that quickly turns impractical.
How about picking the closest star? this still have potential for checking many systems, but atleast far fewer than the option above, and we already seems to be able to show this information. But if you can choose this, then the pursuer could also gamble on this, and thus be able to follow you. So for escaping this is a bad option.
Lets try again, what if the game picked up to 10 first systems it could find that is within 70% of current jump range (so we do not leave you stranded with no fuel), and then randomly select one of these as the target, and now any pursuer would have hard a time guessing where you went. But there is no control at all for the player. Just as we can preload the nearby systems in the nav-panel, this could also be pre-set when you enter a new system. For escaping this seems to be the best option sofar...
Be able to select bookmarks from navigation panel, this would be great for standard destinations for standard travel, like visiting engineers, your home base, etc, etc. It would probably be less useful for escaping. As depending on how far away your destination it could be outside the realm of route plotter, or the plotting itself could be slow. Making this a unreliable option for escaping. Also settings like economic/fastest travel affects this. So more a Quality of life function than escape option.
Be able to search for systems directly from nav-panel, this is bad for almost all escapes, and do you really know any close systems to escape too? Take the example of Beagle point above... but it is another potential useful function, that I would argue can could be accomplished easier with he above bookmark option, as regularly visited system known by name, could as easily be added as bookmarks, and instead increase the demand for better bookmark management etc. Also, do not forget, that we have a many players not using keyboard when playing, and thus typing text is a totally different challenge, I think about VR players (who regularly wants some soft keyboard in VR) and console players who mostly only uses a gamepad. So restricting this option to the Galaxy map is in most cases a good compromise.