I dont know of any specific docker/web app, but its very simple command line job in linux actually if you just need to record what "normal" routing paths are for reference
Set up cron job to run a script once a day. in said bash script, get the current date using date "+%Y-%m-%d"
, store in a variable, then redirect the output of traceroute
into a text file by doing traceroute > {variable}.txt
Then you'll have a day by day snapshot of your typical routing stack saved to your hard disk.
It won't actively monitor it. But it'll save a record. You can increase the frequency to as much as you want (hourly?) if you want too.