This could be a market problem, like trying to buy a small car these days. People are demanding bigger, faster, more range. I know several people with e-bikes, and most of them are on their second or third bike in pursuit of more speed and power, fatter tires, shocks, etc.
A used bike might fit your bill. Or the DIY route. The friction motor might be a bit iffy, but you might be able to buy an electric front or rear wheel for not too much and use the same electronics.
Friction motors are not great in the rain. The tire tread type and width, the pressure on the tire and the material of the friction drive surface are all difficult to get right. These kinds of motors are very noisy too.
A used bike might fit your bill. Or the DIY route. The friction motor might be a bit iffy, but you might be able to buy an electric front or rear wheel for not too much and use the same electronics.