Using DTS Designer, What Is The Best Way To Process Multiple Files?

In DTS designer I need to solve the following problem:

Problem:
- Import x-number of flat files into SQL Server one at a time.

Issues:

- I can't call the package recursively to process
the files because I don't want to eat up computer resources.
(there is a possiblity that there could be hundreds of files
that need to be processed and I wouldn't want to have hundreds
of package instances running).

- The files names cannot be read into a list then processed
because while the list is being processed more files could
be "dumped" into the folder by the main frame. And, all files
must be processed.


I thought about scheduling a job at the end of the package
to run the package again, however, I haven't figured out
how to do that and am still looking. DTS is new to me.


Thanks,
Martin