Ramkumar, ranked 154, will open India's campaign at the World Group Play-off tie against the 22-year-old Schnur, ranked 202 while Yuki Bhambri will play a crucial second singles against world number 51 and Canada's biggest hope Denis Shapovalov.
The Canadian team did not field Vasek Pospisil, world number 82, for the singles, probably since he is going through a rough patch of late.
India's non-playing captain Mahesh Bhupathi was forced to pair Rohan Bopanna with Purav Raja instead of Myneni, whose fitness to last five sets has come under scanner.
Bopanna and Raja, who will play only his second Davis Cup tie, will take on seasoned Daniel Nestor and Pospisil.
Raja was brought into the team last minute as a reserve player when N Sri Ram Balaji, one of the two reserves named initially in the squad, twisted his ankle during the training camp in New York.
Bhupathi said the draw has come out exactly they wanted.
"The draw is favourable. We were expecting Schnur to play Friday and wanted Ram to start," Bhupathi told PTI after the draw.
Asked to explain change in nomination for the doubles rubber on Saturday, the Indian captain said,
"Doubles we feel, this is our best team keeping in mind Saketh not yet physically ready to play a tough five set match."
Myneni, who recently returned to competitive tennis after recovering from a foot injury, had also pulled out of the tie against New Zealand in Pune at the last minute and then captain Anand Amritraj was forced to give an SOS call to Vishnu Vardhan to pair with Leander Paes.
Bhupathi said having a camp in New York ahead of the tie proved good as they could assess the fitness of the players.
"It was a good call or we would have had problems The camp was an important aspect to this tie to gauge fitness levels and confidence of the players."
The Indian team is making is fourth straight attempt to make it to the elite 16-nation World Group, having lost to Serbia (2014), Czech Republic (2015) and Spain (2016) in the Play-offs in the last three years.
"I have been playing well all year so yes definitely confident but it's still a tough match tough conditions with the crowd against and a good opponent. I have played a lot of lefties in my career so more about adapting to the style. It's a tough match against a top-50 player. I will have to be at my best to be able to pull this one off," Yuki told PTI.
"Saketh hasn't played too many matches coming into this match and was a bit rusty. So playing Purav was the next best option and one that we felt gave us the best chance in doubles," he said.
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