For your price range you can get an Everlast 200 amp unit.
https://www.ebay.com/itm/POWERARC-200ST-SMAW-GTAW-Stick-200amp-DC-TIG-welder-by-Everlast-NOVA/202859497534?epid=2256316213&hash=item2f3b5e483e:g:WLMAAOSw64ha50h0
Then I look at the other models and find the PowerArc 300 version. At 240 amps and under it has a 100% duty cycle for $620 or so. Though, they are DC-only power supplies. No AC.
PowerArc 300ST | Everlast Generators
Need pure stick welding power and need lots of it in a small package? Need a DC TIG welder for those projects that require portability and power? No problem. The all new PowerARC 300 ST from Everlast can fill the need with 300 amps of DC Stick and TIG welding power. Pick a welding rod, and it...
www.everlastgenerators.com