Our business sells custom made military rings.  We offer a time
payment plan, and inevitably we have to call several thousand buyers
each month because they are not keeping their payments up.

In order to expedite the process, we would like to upload the customer
information to a company who has predictive dialing equipment, and
when the customer answers, we would like them to send the customer
information (that we have provided) and the connected call to us in
order that we may talk to them.

There are lots of companies that will do "voiceblasting", or will do
our outbound calling for us- we are not looking for that.

As a general observation, why not buy a used predictive dialer? Used
dialers that do not conform to the new telemarketing laws are quite
inexpensive (compared to their original cost) and can be found with a
simple search. And you can probably get terms on the dialer since the
older dialers that do not conform to the "Do Not Call" list
requirements are a glut on the market. I'm guessing the monthly lease
payments will be less than the cost of what you are proposing in your
question. Since you are ONLY calling existing customers with whom you
have an existing relationship, you don't have to screen against the
"Do Not Call" list (per my understanding, double check with your
attorney). This would be a lot easier and cheaper than trying to
import/export calls on a bulk basis and buying/leasing the tech to
implement.

Good luck...

Try www.protus.com

I used them for a voice broadcast with a transfer to our call center. Worked well.

Check out www.profit.pricesearch.org for their dialers for under $600 they work!

The exact Voice Broadcast Technology you are asking about is generally
known as press thru (or press 9) technology in the voice broadcast
industry. Two companies that can provide this service to you are eLert
Broadcast Messaging Technologies at http://www.eLertBroadcast.com or
ePolitical.net at http://www.ePolitical.net although there focus is
Political Campaigns they are the sister company to eLert Broadcast. 
They also offer IVR Polling the technolgy can also be used for
Marketing you services as well. On the debt collection side you may
want to consider MasTon Capital Debt Collectors at
http://www.MasTonCapital.com