2000wh of storage seems right with those assumptions. It really depends on the efficiency of your devices, but I would assume for a show, you'd need to have the screen really bright.
From a sizing perspective though you only need the 200w of instanteous power at a time which is modest.
So you aren't necessarily beholden to 1 massive unit. You could also use 2 x 1000W (1000Wh) units and swap at halftime, (and recharge the other one). There are some pros/cons of using 2units vs 1unit for your intended usage.
One key spec on is you want to check recharge times, the more modern have fast recharge and can recharge at 1000w+ from wall AC, and in about 2hrs.
I've had some experience with the jackery units especially if you stay within their ecosystem if you want to do solar, or simple setups.
They are on sale and suggestion special Black Friday deals will pop up Nov17.
Discounts so good we had to put ‘em up again! Get up to $1600 off our Black Friday Encore Sale!
www.jackery.com
2199-540=$1659 for the 2000Plus
Get up to $1,589.7 in rebates. Click for information Expandable for Versatile Scenarios: 2-24 kWh of expandable capacity Leaping Performance: Powers Heavy-duty Devices up to 6000W Ultra Fast Solar Charging: Advanced IBC Technology, Fast Solar Charge in 2 Hours Long-lasting Reliability...
www.jackery.com
1899-300=$1599 for the 2000Pro
Jackery Explorer 2000 Pro portable power station is ideal for off-grid living & home emergencies. With a 2160Wh charging capacity, it can power all appliances.
www.jackery.com
Note: the 2000Pro is their older model, that doesn't have their latest features and upgrades-the 2000Plus expandable battery function and LiFePO4 chemistry. But It covers all your needs, is significantly smaller and lighter (43lbs vs 61lbs), and likely to have the additional bigger black friday deal