By the time the Templars (if any survived) would be fleeing the Pope, the Vikings had been coming here for a couple hundred years to fish and to explore. So the continent would not have been a secret, at least not to the Greenlanders and Icelanders. According to the Sagas, a Bishop of the Church visited Greenland in the early 1100's and set off in search of "Vinland" himself--so if the Bishop made it back, even the Church knew. The Templars, as the richest organization in Europe, had excellent connections with shipping magnates and sailors. They had a large fleet of their own. There is no reason to think the Templars (if any survived and if they actually had escaped with any treasure at all) couldn't have known of the New World.
However, if they knew of the New World from the Northmen, they also knew of the Skraelings, who had been quite an issue at times, and that there was no established support system anywhere near. I question why the Templars would go quite so far as a completely uncolonized, dangerous and relatively unknown land to leave the priceless treasure of the West buried in a hole. Not so sure about that. I realize their lives were threatened (if they weren't already dead) and that Europe at that time probably seemed like a "crowded" place, but the Templars knew the way to the East, as well, which had much more chance of success as a place to survive until the Pope got his panties out of a twist.
The Newport Tower is interesting. It was probably built by Vikings--it is built aligned perfectly with the solstices and was probably an astronomical tower for tracking those important dates. It would certainly indicate a settlement of some size would have been around it, but that is now covered by the City of Newport. So we'll never know, I guess.
If you go to the Newport Tower site on Google, it says the tower is a windmill built in the 1600's. There is an interesting report on the Tower here that disagrees:
WHO BUILT THE NEWPORT TOWER? | ACMRS
It isn't built like any windmill, colonial researchers say -- it is an observatory or a church with astronomical orientation to serve a double purpose. There is also a map by a European explorer who draws in the tower in 1500-something, well before any colonists had come to New England. Or maybe that was a hoax. It