This one is a hard one, it is close to a snowshoe and area found would indicate yes, snowshoes are brown in summer but most still have some white on underbelly and feet. Europeans are found in open fields and not usually around in city area, they are very large but tend to be thin looking as are open plain runners, big ears and sit more upright when startled ,not sure if they are found in New Brunswick?
Not sure what other species are found there..but if I had to choose I would go with snowshoe as well
Dave