The microwave, trust me as a kitchen design professional for many years, is an appliance that is very tricky to place in the kitchen. One of the pros of the microwave as opposed to other appliances is that there are quite a wide range of sizes available to either build it into cabinetry or, in the case of the countertop model, simply put it on a shelf. You also want to try to place it near the refrigerator since you commonly take something out of the refrigerator and pop it into the microwave.
The cons begin with microwaves needing extra depth to install, making it difficult to position it above countertop height where it is most easily accessible. Some microwaves have trim kits that allow them to be built into cabinetry and many do not. It takes SO much space to just place it on a countertop and is not the best look.
The over-the-range microwave serves a purpose, yes, but the cons overwhelm the single pro of it being off the countertop. Ineffective venting and awkward and dangerous access (imagine foods cooking in pots below) make this installation a worst case scenario, sorry to say.
But, there’s another solution!