Pauline, I took a look through my bookmarks, and here's a rental that might appeal.
Milleluci
I am being too fussy, but I don't like the swimming pool at the back door.
These apartments --
https://www.corderodimontezemolo.com/en/insights/hospitality/ -- also come highly recommended by a regular contributor to the Piedmont on Chowhound.
These places look great, but I feel guilty staying at a place so devoted to wine, when we don't drink. Wine drinkers should stay there. Right now it feels like the whole Piedmont is devoted to wine.
An alternative in Monforte is La Rosa Gialla with a range of different apartments and a pleasant sunny patio/garden.
These look very nice but are booked for the last 2 nights of the week I am looking at. Still, we could do 5 nights there and then have 2 nights somewhere else.
http://www.larosagialla.it/en/accomodations/apartments
My Current Shortlist
Sori San Giovanni (recommended by Jan on the forums)
http://www.sorisg.com
Via Bricco San Giovanni 1/A, 14057 - Isola D'Asti
South of Asti, 4 apartments
Dolcetto available, DOLCETTO (4 guests): 140 € per day
Cà d'Reggio in Canelli
South of Asti, north of Acqui Terme
https://www.homeaway.co.uk/p1476075
2bed/2bath, garden, views, nice inside, good reviews
also on Booking.com
https://www.booking.com/hotel/it/ca-d-39-reggio.html?aid=356983
Palazzo Asinari
Via Palestro 2, 14053 Canelli, Italy
Canelli population 10,000
https://www.booking.com/hotel/it/palazzo-asinari-canelli12.html
https://www.airbnb.co.uk/rooms/17614424
2 burner stovetop, in a town
No reviews - new.
The apartment is located on the first floor of an old building located in the center of Canelli. Spacious living room with fully equipped kitchenette and double sofa bed, bedroom and bathroom with shower.
Thoughts?