The famous hillstation of Mahableshwar is approximately 5o km away (1.5 - 2hr drive) with its viewpoints and resorts. It is situated at an altitude of 1372 m in the Sahyadri hills and was originally developed during the colonial times when the British had been looking for a cool escape during the hot summer months. It is an established tourist location, with a variety of hotels and restaurants, and is famous for its strawberries and cream. Panchgani, another hillstation location popular with Mumbaikers - including Aamir Khan - is also closeby. At 1334 m, Panchgani is at an altitude of 38 km below Mahableshwar, but the 18 km approach provides views of the River Krishna and coastal plains. As well as a lake, there are opportunities for hiking and watersports.
For more information, you may find these websites interesting:
www.hill-stations-india.com/mahabaleshwar.html
www.hill-stations-india.com/panchgani.html
Closer to Latwan village, the town of Dapoli is about 40 km or an hour's drive away. As development continues to take place, it is increasingly becoming a tourist hub for accessing the unspoilt beaches along the Konkan coastline, including Karde, Murud-Harnai, Anjarle and Kelshi. Harnai is a charming fishing village, where you can watch the catch coming in the late afternoon and haggle amongst the wholesale traders over baskets of prawns and lobsters. It also has a small fort and is surrounded by beautiful beaches, as well as some nice hotels and restaurants. The local cuisine is famous for its seafood (and of course alphonso mangoes).
Fishing boats in the distance coming into Harnai Port
Raigad, is another beautiful fort location, about 20 minutes drive away from Mahad. The Raigad ropeway (Cable car) gives wonderful panoramic views as it takes you up to the fort, which has chalets and a restaurant at the top.
There's plenty more to do nearby - from dolphin and turtle watching to dams, waterfalls and hot springs. There are also many temples and dargahs. For more details on places to visit in the region, this excellent website gives a lot of detail:
www.weekend.travelplans.googlepages.com/dapoli,murud-harnai,karde(beach)