This is a pretty cheap one bedroom in Morris Heights. This isn't the most tranquil nabe in the world, but if you're looking for cheap rent and no roommates, this is for you. There is some cool stuff to do/see in Morris Heights, though.
Roberto Clemente State Park is a 25 acre waterfront state park in the hood. That certainly doesn't hurt the quality of life. Another neighborhood gem, which is housed on Bronx Community College's campus, is the Hall of Fame for Great Americans (you've gotta check of the panoramic virtual tour after the jump). This pantheon of great Americans is beautiful, classical, overlooks the Harlem River, and was America's first "Hall of Fame" in 1900. Eat it Cleveland and Cooperstown.
If you need to take the subway, you would just walk down Tremont to the B/D at the Concourse or the 176th 4 stop at Jerome. Morris Heights also has its own eponymous Metro North stop, which is convenient.
When you think of far western Morris Heights, think Inwood for half the price. Well, maybe think eastern Washington Heights in the 180s for half the price...