I believe Pestana also now operates (all?) the historic pousadas in Portugal, as well, so they're entrusted by the Portuguese government.You won't go wrong with any Pestana resorts. I haven't visited the Algarve resorts but they will be no different from Madeira where I own Four weeks. If you are going for a few weeks, you could visit Madeira which is only about an hours flight from the mainland.
Dolce C is beautiful!!!! Great area .I have an OGS for resorts in Portugal Sept/October 2022 NOT in the Algarve since we previously had a wonderful week there at the Four Seasons Vilamoura.
Here are the ones I requested:
Hotel Ap. Vila Gale Cascais
Dolce Camppreal Lisboa