The Amish are not their stereotype. Years ago when the Champaign, Illinois Best Buy was new, I saw an Amish fellow roaming the electronics section to choose and buy a scanner. Due to a population higher than the local available land will support on the farm, they are building fine furniture, kitchen cabinets and houses for non-Amish in the area. Computers and electronics for businesses do not seem to be a problem.
I don't know what their "stereotype" is, but I used to say there is no such thing as New Order Amish, because by definition, once someone becomes New Order they are no longer Amish.
Relatively recently, I learned that's not really true, there are some who call themselves New Order Amish.
Not many, maybe one tenth of one percent of all Amish, but if an Amish church district declares itself "New Order", they can do that.
However... one reason there are so few New Order is because most in such a district will soon either leave and become non-Amish entirely or they will return to an Older Order church.
Historically, New Order church districts don't last long.
As for Amish businesses, even in very rural areas the majority are not farmers but work in other manufacturing (i.e., sawmills, cabinet making) or services (construction, store-keeping, etc.).
Some districts permit certain electronics for their businesses, but not in their homes.