Aren't you supposed to be riding over that bow wave not wallowing in it? If you have Lipo batteries you probably have brushless motors (kV? how many cells?) - try a smaller prop - much smaller - let the motors run free and show what they are capable of.
I used to sell Spektrum radios so I had my share of "I've tried everything and it won't bind". When binding one Spektrum product to another I found fitting new batteries all round and going through the correct bind sequence invariably sorted things out. As a Spektrum dealer I found myself otherwise occupied and unable to sort out problems with Orange receivers. I suspect the early DX5E's were DSM2 - check to see if your DX5E has DSMX written on it somewhere - if not I don't think it will bind to a AR610 which (from memory) is DSMX only.
"The switch used for binding on the DX5e is the Trainer switch! Not AUX." - I'm sure you are correct -sorry, that was from memory - I don't have a DX5 in front of me. I must have missed the reference in the thread to the Trainer switch being activated while the transmitter is being turned on - my apologies for that.
There's probably a spring loaded toggle switch on the top left of the transmitter (might be marked 'Aux') - for binding this needs to be held up while turning on the transmitter - you might be doing this but no mention of it so far. The Orange receivers are cheap copies of the actual Spektrum receivers - some are cheaper than others and some work better and some don't work at all.