If you want to stay near to a commuter station, then why not book your discount hotel in Dublin near to Broombridge Railway Station? The station is unusual because it is a halt, which are rare in Ireland. This means that it is unmanned all of the time, and it is also the end of the line. The station is on the site where William Rowney Hamilton the mathematician discovered quaternions, and there is a plaque nearby on the canal bridge explaining this.
The Broombridge Railway station is named after the Broom Bridge, which passes over a canal nearby. So the station does have quite an unusual history. You can always book a budget hotel near to the Broombridge Railway station in Dublin for a location which is peaceful, but also has good transport links - and also is a place which is known for a famous person too.