The Tasman Peninsula is a wonderful place to visit any time of year.   An Island within an Island, nature is secluded, the scenery wonderful, the people friendly.
Explore the Convict Trail, where several probation stations were located for farming, coal mining, tree felling, boat building and more.  Included are the Port Arthur Historic site, just 20 minutes from Yarrabee, the Coal Mines Historic Site, Probation stations at Saltwater River; Impression Bay at Premaydina where convict ships with Cholera were quarantined; and at Koonya. 
The area is full of Australia's early convict history to explore. 
A map of the interest spots, convict sites and surf baches on the Tasman Peninsula
convict symbol
historic church at Koonya
View of Eaglehawk Neck beach
Eaglehawk Neck
historic hut at Koonya
The old tree at Tarrana
Other things to do on the peninsula include the Tasmanian Devil Unzoo where you can come face to face with these gnarly creatures as well as the Forrester Kangaroo, Pademelons and other wildlife.   Nearby is the Chocolate Factory - well worth a visit. 
Norfolk Bay
Koonya convict house
Natural wonders are everywhere on the peninsula, including Remarkable Cave, Cape Raoul, Shipstern Bluff (a must see), and Eagle Hawk Neck where you can view the Tessalated Pavement, Devil's Kitchen, the Blow Hole and Tasman Arch.
Saltwater River farming sheep
Convict long hut at Premadyna
Perhaps surfing or nature walking is more your style.  There are so many great beaches and surf spots on the peninsula, it is known the world over as one of the greatest places to surf. There are great walks to the Remarkable Cave near Port Arthur, Roaring Beach near Nubeena, or the Clark Cliff walk at Koonya just to name a few.
Historic house at Koonya
Norfolk Bay east to Eaglehawk Neck
Imprssion bay convict settlement sign
Convict runs
Convict ruins
Convict house at Saltwater River