Desperate Help Needed re CS6 Activation/Installation Problem

Question

A few months ago, I purchased the full retail version of CS6 (Design Standard) for Windows.  I installed it on a new clean computer running Windows 7 and activated and registered it.  The installation, activation and registration process went smoothly, and initially everything seemed OK.
A little over a month ago, the nightmare started.  Since then, each time I try to run any of the CS6 components, I get a message telling me it "thinks" I have the trial version installed (even though I actually installed and activated the full version) and asks me if I want to "start the trial" or "license this software."  If I choose "license" it asks for my serial number (which has already been entered numerous times) and it then seems to be OK -- for a while.  However, within a short period of time, the problem is back, and the cycle starts again.
I have tried on numerous occasions (and spent countless dozens of hours) attempting to resolve this through Adobe support, both via telephone and via "chat."  Each time, I wind up telling the same story to several different people, re-explaining it until they apparently understand it, and then getting transferred around to several people until I finally get to somebody who, supposedly, can help.  Then, that individual walks me through the same things that have already been tried several times before.  Finally, I am assured that the problem has been fixed, and am also assured that they will keep the case open.  Each time, the problem has not been fixed, and I find that the case has been closed (so that the only way I can try to communicate is by starting all over, wasting more hours trying to get through, and ultimately again getting to somebody who has no idea what to do other than to tell me to do the same things that have already proven themselves (several times) not to work).
The result of all this is that I have a $1200 piece of software which is totally useless.
Perhaps somebody from Adobe can help me with how to take this to the next level so that it gets to somebody with the knowledge to figure out how to fix the problem.  If anybody other than from Adobe has dealt with a similar problem, any suggestions would be appreciated.
Robert Rothman (a very dissatisfied customer)
Edit: To be clear, this was not purchased via download; I installed from physical disks.

Answer 1

Rob you may find this interesting...Adobe Customer Care sent me an email today in reguards to the problem I (we) have all been having...entering serial number numerious times in order to launch the CS6 program.  This is what they sent me...
"With this response, we believe your issue is resolved and have therefore closed your case 0183753409.  If your support case has not been completed to your satisfaction or you should need to contact us on this issue again, please reference your case number.  You can reopen your case up to 14 days after it has been closed."
Then they continue with...
"Thank you for contacting Adobe technical support.
Thank you for updating the dependency information.  We discussed this case again with our development team and they have informed that we do not have a solution for this issue at this point in time.  You need to enter the serial number and activate the software each time you launch a 64 bit CS6 application.  I would like to tell you that this is a rare incident and we are extremely sorry for the inconvenience caused to you.  We are closing this case now.  We will get back to you once we have a fix for your issue.
I request you to contact us back via Live Chat for further questions."
So basically they are telling me (us) there is no fix  and they do not have a plan for when there will be one, and that this problem is a rare incident.  I'm not buying the rare incident statement what about you?  I would be very interested to know just how many people out there are having this problem? 
I am very disappointed in Adobe. How can they close my case saying the issue is resolved when infact it is not?   I am also wondering why they have not already fixed this problem as it seems to have been around for quite awhile.  Not really sure what else to do as Adobe seems not to be very concerned about customers spending hundreds of dollars for a program they know has this crazy annoying problem. 
I've entered my serial number so many times I almost have the whole number memorized!  What a pain to have to enter it about every other time I want to access my CS6 program!   I'm a Very Very Unhappy Customer!!!  
Good Luck Rob I hope you have better luck than me!  I'm going to keep checking back to this posts discussion so if you do find a fix please post it here so we will all know about it.  Thanks...
Jeff, Thanks, I did finally find a browser that would let me actually access my open (but now closed) case but I had to try three different ones before it worked.  Google Chrome worked,  Internet Explorer and Foxfire did not!  FYI
Chesterr, I will try the steps you suggested but I do not have high hopes in them working to solve our problem.  Thanks...