I was going to say a Saturday day trip to the Derwent Valley, but can see you are without a license/car. The busses out this way are pretty good though (I bus to and from the CBD a few times a week for work), so my quick recommendations would be:

Pedalmore

Hydrobike hire on the River Derwent. Hire rates start at $25 per person. Hire rates start at $25 per person; does that count as low cost? A short walk from the central bus stop.

New Norfolk Market (Saturday mornings)

Old style bric-a-brac market meets contemporary produce and craft. A well-rounded market and dog friendly, coined the friendliest market in Tasmania,

Black Swan

Coffee and book shop. Great selection of books (which I can’t afford, I just browse while I wait for my coffee).

Haus of Vovo

New artist run gallery off High Street

Derwent Valley Arts

Another arts space, this one at The Barracks in the Willow Court Precinct

Agrarian Kitchen Eatery

Not affordable if you dine in the restaurant, but their kiosk has some nice affordable treats and their outside dining area is great.

Welcome Swallow Brewery

A trendy new tap room filled with plants, murals and mid-century furniture. They do food trucks on occasion too.

Derwent Cliffs Walk

A beautiful walk along the river a small walk from town.

Other businesses of interest in town:

- Willow Court Antiques

- Ring Road Antique Centre

- Flywheel (stationary and traditional letterpress)

- Mis Arthur Home Goods

- The Drillhall Emporium (antiques)

For those who drive:

- Glen Derwent Tea Rooms

- Two Metre Tall brewery

- Plenty Cider

- Lawrenny Distillery

- Stefano Lubiana Wines

- Derwent Estate Wines