Speaking as a Brit, this is a game designed and delivered by Brits in jolly old Cambridge (none of this new fangled new world pretender nonsense).
Any hoo, to my original point - please adopt very well established and much loved Brit principles and form an orderly queue.
Usually 15 minutes or so of polling around the 6 Trailblazer systems will secure me an FC slot orbiting the same body as the ship. I don't believe that I'm unusually favoured by the RNGods

Failing that I go off, take some time and do something more interesting.
Once I have secured my slot I usually only load materials 'specially' available on the Trailblazers (mainly CMM Composites to avoid the landfall risk) and then quickly move on to less hectic systems for the commonly available bulk materials.
I very rarely move my FC to CG systems - very rarely see any benefit to that.
I find these over-subscribed systems tend to be a bit slow and glitchy which is irritating and encourages me to move on asap - certainly not something to be helped by lifting the current FC slots/body limit!
I'd prescribe some therapeutic exploration - rack up those credits (free ARX and Exo rank to boot) with some first disco stratum tectonicas, maybe returning to the bubble for the Panther Clipper MKII release - it's gonna be a blast
