Just saw this thread and felt like I had to jump in because I went through the same dilemma last summer. Weddings are a total marathon and $350 vanishes instantly if you arent careful. I remember doing a ceremony where I thought I had plenty of storage, then realized midway through the vows that my bitrates were way higher than I calculated. It is a total nightmare when that red light starts flashing. I really struggled between sticking with internal cards or going for an SSD setup for my S5II. Here is how I saw it:

• SanDisk Extreme PRO 128GB UHS-II SDXC: These are the safe bet. No cables to worry about, but man, they get expensive when you need four or five of them to cover a 10 hour day. I found that I was constantly swapping them out which is a risk in itself during key moments.
• Samsung T7 Shield 1TB Portable SSD: This changed everything for my workflow. It is much cheaper per gigabyte. I paired mine with a SmallRig SSD Mount Bracket for Samsung T7 and it works perfectly for long 6K recording sessions. Just a word of caution tho... if you go the SSD route, make sure to get a really high quality USB-C cable. I once used a cheap one and it disconnected during a processional. Talk about stress. I would suggest prioritizing reliable storage over a handle for now. You can always brace the camera against your chest for low shots, but you cant get back lost footage. Be careful with those budget SD cards too, they tend to fail when the S5II gets warm during long 4K stretches.

Congrats on the S5II! You are gonna love it for weddings, the phase detect is honestly a game changer for video. Since you have only got $350, you gotta prioritize power first because those wedding days in Chicago can be brutal. I usually skip the official batteries and grab the Wasabi Power DMW-BLK22 2-Pack and Charger to save a ton of cash. They work fantastic and leave you with plenty of extra room in the budget! Regarding the cage, the SmallRig Black Mamba Cage for LUMIX S5 II is actually super sleek and barely adds weight imo. I would definitely grab that plus a simple SmallRig Top Handle with Cold Shoe Mount for those low angle shots during the reception. It makes a huge difference for ergonomics and you will still have money left over for some fast SanDisk 128GB Extreme PRO SDXC UHS-II cards. Good luck with the shoot, it is gonna be amazing!

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Regarding what #1 said about "Congrats on the S5II! You are gonna love it...", it is a solid piece of kit, but unfortunately the power management is a significant step back for professional use. I had issues with the camera draining cells much faster than the original S5, especially with the active cooling and PDAF running constantly. It was not as good as expected during long ceremonies. For a Chicago wedding, you need a methodical approach to your power and storage rather than just adding bulk with a cage.

• Panasonic DMW-BLK22 Rechargeable Lithium-Ion Battery
• Stick to genuine cells for weddings; I have seen third-party ones fail during high bitrate recording.
• ProGrade Digital 256GB UHS-II SDXC V60 Gold Card
• You need reliable write speeds for the 10-bit files you will be shooting.
• SmallRig Top Handle with Cold Shoe 2094C
• This gives you those low angles without the weight of a full cage system. Dont compromise on your media or power for ergonomics. Weddings are high pressure, and having a cage wont matter if your battery dies or your card errors out during the vows.