I really think you need to get a bike and wheel set that will support that much weight, and have clearance for, at least, 35mm tires. Not being critical, but, you probably have extra pounds you could lose. Otherwise, wheels are always going to be an issue. My recommendation is 36 spoke wheels with heavy duty rims. Modern wheel builds and wider rims, you could probably get away with fewer spokes. Having said that, here is a link,
https://www.novatecusa.net/product/novatec-30/, to a pretty heavy duty wheel set. the rims are 20mm internal width, spokes are 20 in front, and 24 in back, but they are heavy duty spokes. The rear wheel is 8 non-drive and 16 drive side. This is to give you an idea of what to look for.
I have a set of these that I use with tubes. The hubs spin very well, the wheels roll just fine. They are heavy, almost 2000 grams for the pair. With the 20mm internal, some pretty wide tires will work on them. Wide tires will help support the weight. At $200, pretty hard to beat. There are other options out there for heavy duty wheels. Do some research. Also, I have to have at least 2 bikes just for the reason you stated in your post. I am on a self imposed, 2 day sabbatical from riding bikes. That is hard for me. I have to have other things to keep my mind and body occupied, or I cave and go for a ride. My legs were feeling quite tired as I have been pushing the mileage this month. The 2 days will pay off. I have gotten a lot chores and errands done, and have done some minor work on a couple of bikes.