Just remember that there are four Southwest card options:
If you have had the Plus version, go for the Premier version and you will get the bonus offer as it is a different card. Vice versa if you have had the Premier version.
You say that you are not eligible for the business version, but many people apply with their SSN and say it is for a side business, like selling things on eBay, etc. People have even been approved with $0 in income for their business. Just keep that in mind.