Not sure, some champagnes would be OK, but not sure about the prosecco. It should say on the labels 'best drunk within 6 months' or tell you if you are able to keep it.
We recently drank a champagne that had been in the garage for 7 years and it was lovely.
We keep wine in the garage on its side in a rack and it has been fine after a year. In fact, we had one bottle of home-made elderberry wine that had been there for about 15 years - dh and friend drank it, said it was like sherry. I did decline, apart from a sip which tasted OK!
On the other hand, a bottle of margot which a friend kept for years in his house tasted 'mousy'.
You need a wine-loving friend to come and test a bottle from each case - volunteers?