Cory,
Since no one has replied, I will offer some engineering thoughts.
1) Location - Place the forge where it will be easily accessible when needed. That would require either a dedicated "forging area" or mobility of the forge. Mobility is far better. Build/place the forge on a sturdy cart and you can move it to the equipment you need it at.
2) Safety - A NC shut-off solenoid should be installed on the gas source ( outside at the tank). It should be wired so it shuts off the gas when the fire detector goes off, as well as when you are leaving the shop ( put a red master switch at the exit door).
When running the forge think about what is within 48" of the forge. That includes other equipment, hydraulic lines, wires, walls, ceilings, etc. In a metal building with 10' ceilings, the ceiling will not normally be an issue....read next item>
3) Air exchange - What is most important about running a forge inside a building is exhausting the combustion products and replacing them with good air. In a 720sqft building, one centrally placed powered roof fan will do the exhaust adequately. You want air to enter the shop at a place that puts the forge between the fan and the air vent for best airflow. Opening a door or window is always a good idea, but a louvered panel or two ( powered or manual) is also a good thing. Having one on each end of the shop would be really good. Total air entry should be at least 4sqft ( more is better). Obviously, if the ceiling is closed ( sheetrock), then you will need 1sqft ceiling vents in many locations throughout the shop, as well as a larger one in the forge area. If the ceiling is open beams, there is no needed for ducting unless you install a dedicated vent hood....Read next item>
4) Vent Hood - Unless you are running a BIG forge or there is a vertical blast from it, a hood probably won't be necessary. If placing the forge in a dedicated area, an 8'X8' cowl/hood over the area at ceiling level would be good. Run 12" duct from it to the powered roof fan. Building the hood from sheet metal should be easy. It should only need to project down from the ceiling 6" or so to get a good draw.
5) Monitoring - A CO detector, a fire detector, and a couple good thermometers on the walls should be in any hot shop as a minimum. Other good monitors are an oxygen sensor and a ceiling mounted thermometer or thermocouple in the forge area.
6) Other info - Installing an idle burner control on your forge ( low flame by-pass) will save heat output as well as gas consumption between heats. A foot operated switch is a good way to turn the by-pass on and off.