What mouse holds up well and fits large hands?

The Logitech G502 X is worth a look if click switches have been the problem. It uses Lightforce switches, though that won't necessarily help with a failing wheel or damaged cable.

Check the fit before buying if you can. The G502 shape has been recommended for durability, but some people with large hands find it too small.

For a bigger mouse, look at the Redragon Impact M913. It's an MMO mouse with more buttons than you need, but its shape may suit a larger hand better than a G502. Fit is still personal, so a return policy would be handy.

What actually breaks on them? A dead scroll wheel, double clicks, connection trouble and a shell falling apart point to different problems. The models you've tried would help narrow it down too.

If rubber grips are getting sticky, check what you're cleaning them with. A different cleaner or a mouse without rubberized grips might be worth trying.

The Logitech M720 is another option if you want an everyday mouse rather than gaming features. It has been reported to last for years, although that doesn't guarantee the same result for every unit. Check its dimensions and shape against a mouse that fits you.