Originally Posted by hoover

I wouldn't. Coming from a guy who flew the 737 for a charter company. Sure its 737 time but not much of it. Like the OP said. Slow time building and slow upgrade. With that low of hours if you went to a charter company you fly the 737 it might be 5 yrs before you have the time to upgrade and that's if the company is still around by the. Next recession and they're gone.
Plus no one in HR know who charter companies are. When I interviewed no one had heard of that company before. On the line 1% of guys I fly with heard of it. Kinda hard to convince HR that you had a good training program, ran a good operation etc. If no one knows who you are.
Conversely, at a name brand regional HR know exactly what they are getting. You'll build time faster. Upgrade faster. Make more money and have more days off at a regional.
That's a lot to give up to show you've flown the 737 somewhere.
In my new hire class out of 26 only 5 had the type and only 3 had time on type. I don't think 737 time means much anymore. Plus you'd have to learn how to fly it the southwest way. And that may be the most difficult.