Here is what is causing your problem.
Three blinks is short protection and 98% of the time in this set it means one of the two STK-392-110 CHIPS used for convergence is shorted.
With the set UNPLUGGED, remove the back cover and locate the two chips mounted side by side on metal heat sinks with fins--they will have the full number printed on the front of them in white letters.
Take a good look at all the light blue resistors in front and around them--all the ones marked 2.2 need to be looked at to see if even one is white in the middle (discolored). They can all be tested just like checking a fuse.
Most shops are going to charge 300 or more for this kind of repair---BUT you can buy a pair of the chips on Ebay for less than 13 dollars plus shipping--I would upgrade them by using STK-392-150--same part but longer lasting.
Total parts cost should be under 30 dollars total. If you or someone you know can do it I HAVE STEP BY STEP, START TO FINISH INSTRUCTIONS FOR THIS REPAIR IN THIS SET.
They tell you everything you will need and how to do it--usually takes about a hour--longer if you are doing it the first time.
Let me know if you want the instructions and I can post them here for free.
If this has helped you rate this solution as I do this here for free.
SD TECH