Is there a database tool that bashes data with HUGE excel files?
What you're describing is known as "Excel spreadsheet hell". Your scenario sounds like a disaster - constant firefighting, messy data... the list goes on.

I'm not sure what sort of data volumes you're dealing with. Oracle's solution to this is Apex. It's potentially a lot more than that, but take a look here. 

If your volumes are not too large, you could use Oracle XE as your backing database for your systems. Apex only works with Oracle - hardly surprising for a tool which comes free with their database system.

You might ultimately want to upgrade to one of the other Oracle editions - but ultimately, managing data is not a trivial exercise and in order to improve your systems, some financial outlay may be required.

You could take one of the simpler systems, convert it to Apex and show management the potential of using a proper RDBMS to manage their data. It might require some midnight oil on your part, but if it works, it could be of benefit to your company and you.

All I would say, is that your system is untenable and will collapse under its own weight at some point in time. Either try and make it better or resign.

p.s. I hope you don't work for my telco! :-)