Multi-million-dollar podcaster and highly influential media personality Joe Rogan may be looking for a new Austin home.

The new Austinite purchased an off-market luxury lake house in West Lake Hills for a rumored $28 million last fall. But word on the street is he's unhappy with the property—telling a source that there are too many "looky-loos"—and in search of a more secluded alternative.

If this is the case, he could spend a lot of time looking.

Austin's ultra-luxury housing supply is limited compared to some other Texas metros, such as Dallas and Houston, and may only allow for one $20 million home on the market at a time, according to realtor Cord Shiflet. This leads real estate agents to seek out unlisted properties and make off-market deals. "We're digging every day for homes that people are willing to sell," he said. "We just need to know who these people are… because we've got the buyers to deliver to them," he told Austonia in December.

Rogan's current home is more than 11,000 square feet and sits on a nearly four-acre, tree-lined lot that's hidden behind a wood-and-stone fence on an unlined cul-de-sac off of Bee Cave. Behind the gate, a giant circle drive leads up to the house, which sits on the Colorado River, with a sundeck over the water and two boat slips with a party deck. On a recent morning, the only visitor was a FedEx delivery driver.

Rogan moved to Austin from Los Angeles after his popular—and often controversial—podcast, The Joe Rogan Experience, landed a $100 million deal with Spotify. Recent guests include Austin Mayor Steve Adler, comedian Dave Chapelle and pop star Demi Lovato. He records the podcast from a custom-built, in-home studio.

If Rogan is indeed back on the housing market, he might consider the following four properties, which offer seclusion and studio space in his ultra-luxury price range.

A lakefront estate

(Kuper Sotherby's International Realty)

This 4-acre, 10,608-square-foot home sits along 650 feet of Lake Austin waterfront in West Lake Hills. With six bedrooms and seven full bathrooms, its comparable to his current place. Plus it offers a guest house that could be converted into a studio. It is currently listed by Kuper Sotheby's International Realty for $30 million.

An urban escape

(Kuper Sotherby's International Realty)

The 30th floor penthouse at the Four Seasons in downtown Austin offers 360-degree views of Austin and unique touches, such as a 500-pound Taj Mahal quartzite bathroom counter and balconies outfitted with dog-friendly charcoal filtered turf. There is also a media room that could serve as the new The Joe Rogan Experience HQ. It is currently listed by Kuper Sotheby's International Realty for $21.5 million.

A little bit of California

(302 Inwood Drive)

This Santa Barbara-style property is still in development, meaning its future owner will be able to customize finishes and other details. Located in Rollingwood, it offers a view of the downtown skyline and and a lower level complete with a speakeasy space and board room. It is currently listed by Moreland Properties. Price available upon request.

A secluded compound

(Kuper Sotherby's International Realty)

The Retreat at Lick Creek Lodge offers more space—and privacy—than Rogan's current home, located on almost 30 acres in Spicewood, 26 miles outside of Austin. Designed by a Frank Lloyd Wright apprentice, the gated property features a media hall as well as a waterfall and private grotto. It is currently listed by Kuper Sotheby's International Realty for $17.5 million.