I am too short and I cook a lot, so I can't have the microwave over the range. I chose to leave it counter top and "built" it in with a pull out shelf to put the food on, stir it and put it back in the microwave.

Whichever one has baffle filters (not mesh filters) and a canopy shape, not a flat shape. Quiet has to do with your ductwork from the hood to the outside. If it is narrow, like 6" diameter, it will be noisy, and it won't matter what brand of hood you buy with respect to the noise. Also, be realistic, that an exhaust hood DOES have a motor operating almost right in your face. Impossible to be really quiet. People have imaginary expectations of a hood being quiet.

In Europe, buying a separate cooktop and wall oven is a very common configuration. So, if you are in that market, I wouldn't hesitate. But in the US, manufacturers don't really plan for this particular configuration. Wall ovens often are too tall, resulting in the door being too close to the floor and the top of the appliances hitting the cooktop. I'd strongly discourage you from going this route. If you do want a cooktop, then put the wall oven at roughly countertop height into one of your cabinets. It'll work much better that way. If you prefer a cooktop, get induction. I would never recommend cooktops for gas; it's just not as functional. Instead, with gas I'd get a rangetop (i.e. controls are on the front face of the cabinet). Bluestar makes a wonderful gas rangetop, by the way. If you do consider Bluestar, do not get the closed burner model. It's not playing to this brand's strength. We occasionally have this discussion on Houzz, and inevitably most people regret their decision, if they don't heed our advice. I strongly discourage you from buying a hood based on looks, only. While a hood looks like a very simple appliance, it is actually one of the more difficult things to get right. You'll regret your decision if you end up with something that looks good, but that is otherwise just noisy and doesn't actually vent. I probably would buy from a reputable vendor such as ModernAire or VentAHood, rather than from a general-purpose vendor. Miele makes great appliances in general, but vent hoods are really not their specialty. I am not even sure they make their own rather than rebranding somebody else's product.

Remove the ENTIRE drop-in range as shown in this poorly-photographed youtube video and replace it with a slide-in or freestanding range. The Frigidaire GCRI3058AF and FGIH3047VF are only $1260 (freestanding) and $1890 (slide-in) respectively.