Sunroute Hotel
Single room for ¥7,500
Clean, has a in-house restaurant and also comes with free high speed internet in the rooms.
Ichinoseki Green Hotel
Single room ¥5,500
Clean, has a in-house restaurant.
There are also a number of other small hotels and ryokan located throughout the city, including one that is the exact same ryokan where Emperor Meiji stayed during his trip to the north, give or take a few fires, floods, and complete rebuildings.
Toyoko Inn
The blue neon sign is visible from Ichinoseki Station.
This is a fairly new hotel.
There are a couple of hotels right in front of the station, west main exit.