What company is like FEMA where you can get jobs and travel but not FEMA?

Do you want to do federal insurance type work, or do you just want a job where you can travel? If the latter is true, you could be a flight attendant, you could dabble in sales, they even have traveling nurses. Add a little more detail to your question and you'll maybe get some answers that are better tailored for you.

Wouldn't this be better suited in the Business category?

FEMA Disaster Housing Inspectors are contract employees of either Parsons/Brinkeroff or Parr Inspections.
You attend a few training seminars (they are offered in Houston).

If a distaster area is declared in the USA ,including it's territories, inspectors deploy to the area to inspect the homes of those applying for federal assistance.

You can can search on line for either company.