Yo, just catching up on this thread! Been rigging cameras for over a decade now and honestly that Sony XLR handle is a total pain for clearance. I totally get the struggle. Since you mentioned being budget-conscious, you might find this useful - there is a killer resource at the CineD website where they test gimbal payloads and clearance for the FX30 specifically. It's saved me a ton of money on returns over the years. Pro tip: look into these setups that are a bit cheaper than the big DJI rigs but still punch above their weight:

• Zhiyun Weebill 3S Handheld Gimbal Stabilizer
• Moza AirCross 3 Professional Kit The Weebill 3S is lowkey great because it's compact but the motor placement usually clears the handle better than the older models. Just be careful though, make sure to balance it with the screen out if thats how you usually shoot. gl!

For your situation, i recommend the DJI RS 3 3-Axis Gimbal Stabilizer. unfortunately i tried the DJI RS 3 Mini first cuz it was cheap but it literally wouldnt balance with that handle. so disappointing... basically you need the bigger one for the longer arms. plus getting a:

• SmallRig Extended Quick Release Plate for DJI RS 3 lets u slide the camera forward so the handle doesnt hit the motor. saves u 200 bucks over the pro. peace