HI, agree with Phil and building on that, do you have a good relationship with your RTO?, Bobbi Brown and the team down there will be planning a campaign I am sure targeting regional people and as restrictions lift those from Dunedin etc. Tourism NZ are planning a large domestic promotion in partnership with the RTOs so stay posted and see how you can get involved.
Once we get to level 2 are you able to offer special deals maybe including dinner of breakfast as weekend getaways as Phil suggested, and promote these on Facebook etc targeted careful at say those in Dunedin, Invercargill etc. You can pay to boost your posts and to target specific regions.
Is there any thing you can say that is truly unique about your hotel? Are you the southern most hotel in New Zealand? In the South Island? Can make make something of this idea..? Get some PR? What can be salvaged from the oyster festival in May.. ? Could you give away a pottle of bluff oysters with each stay, or throw in some oysters and a bottle of wine in each room?

Just a few thoughts.. Stay Strong and be proactive. best wishes