As your car is 4 wheel drive, it's important to keep to outside diameter the same to avoid abnornal load and wear on the centre diff/transmission. The width is not as important.
This online calculatorThis site shows a 0.6% difference in OD with your current tyres.
As Paulster suggested you could buy a 2nd set of rims specifically for winter tyres. And there shouldnt be any risk going to the same width front & rear. Winter/snow tyres are typically higher profile and narrower than standard.
I'd reccomend to talk to a Mercedes dealer for reccomendations and then look for competitive alternatives. It's important to get the correct size, stud pattern and offset for your car.
One advantage of having winter rims is that it saves your nice factory rims from being eaten by salt & grit. Also being able to swap and store them means you'll get better useful life out of the tyres.
Note: Some countries require tyres to match left/right & front/rear. Check the legal requirements for where you live.