After sending this letter I ended up having a long discussion with the Manger, Service Manager, and technician that was working on the problem.
They assured me that they would make it right so I decided to wait a little longer before pursuing legal action, nobody wins but the lawyers when you go that route.
They told me they found the problem was with the ECU and replaced it. Saturday when I went to pick it up the manager told me that it wasn't the ECU after all, but a flywheel sensor with a bent mounting bracket that caused it to be out of tolerance just enough to make it not fire at times.
I'm still a little skeptical, but it did start Saturday night in the mid 40's and Sunday morning again in the 30's, which is promising.
Many people have recommended a battery tender, and I did try that. But even when the bike wasn't starting I could hook the tender up and it would almost immediately report back that the battery was fully charged and shut off. And since I don't have a garage, I would have to just have the tender and extension cord sitting out in the elements, which isn't an optimal situation.
So at the moment the bike is back after spending about 5 months in the shop. It seems to be working. I didn't want to uncover it this morning in the rain and snow to test, but will be testing it tonight. Triumph is going to extend the warranty since I only got to ride it for about a month. It was a blast to be back out on it over the weekend, so here is to hoping that it is smooth sailing for a while.
Another month passed since the dealer told me they were going to escalate this to Triumph. Yesterday I contacted Triumph and they tell me the dealer has never contacted them for this problem.
As much as I love the bike, it has been sitting in the shop for 143 of the 193 days I've owned it and is less than worthless to me.
I sent a message to the dealer today demanding a buyback and will be forwarding it on to Triumph as well.
I thank everyone here for the advice, it was a hell of a ride for the few short weeks it worked, but I just want to wash my hands of Triumph and Engle Motors at this point.