Can I use an exhaust fan instead of a hood in the kitchen?
A 48 inch gas range sounds large to me and 350 CFM may not be enough. Many people have up to 1000 CFM for smaller ranges and cooktops.

A hood will help collect the cooking fumes while the aperture of an exhaust fan is not as large.

Real kitchen hoods have grease collection mechanisms and are designed to be easy to clean. An exhaust fan will not.

Don't forget to provide a way to replace the air you remove or it will be as effective as a clogged vacuum cleaner.