Goodwill and Other Intangible Assets (Summary of Goodwill and Other Intangible Assets) (Details) - USD ($) $ in Thousands	12 Months Ended
	Jun. 03, 2023	May 28, 2022	May 29, 2021
Goodwill
Goodwill, Balance	$ 44,006	$ 35,525
Additions		8,481
Goodwill, Balance	44,006	44,006	$ 35,525
Other intangibles, Finite-Lived
Other intangibles, Amortization	(2,234)	(2,220)	(2,500)
Other Intangibles, Finite-Lived, Balance	15,177
Intangible Assets Net Including Goodwill [Abstract]
Total intangibles, Balance	62,137	55,866
Total intangibles, Additions		8,491
Total intangibles, Amortization	(2,234)	(2,220)	(2,500)
Total intangibles, Balance	59,903	62,137	55,866
Water Rights [Member]
Indefinite-lived Intangible Assets [Roll Forward]
Other Intangibles, Indefinite-Lived, Balance	720	720
Other Intangibles, Indefinite-Lived, Balance	720	720	720
Franchise Rights [Member]
Other intangibles, Finite-Lived
Other Intangibles, Finite-Lived, Balance	15,071	16,699
Other Intangibles, Additions		0
Other intangibles, Amortization	(1,657)	(1,628)
Other Intangibles, Finite-Lived, Balance	13,414	15,071	16,699
Intangible Assets Net Including Goodwill [Abstract]
Total intangibles, Amortization	(1,657)	(1,628)
Customer Relationships [Member]
Other intangibles, Finite-Lived
Other Intangibles, Finite-Lived, Balance	1,326	1,688
Other Intangibles, Additions		0
Other intangibles, Amortization	(356)	(362)
Other Intangibles, Finite-Lived, Balance	970	1,326	1,688
Intangible Assets Net Including Goodwill [Abstract]
Total intangibles, Amortization	(356)	(362)
Noncompete Agreements [Member]
Other intangibles, Finite-Lived
Other Intangibles, Finite-Lived, Balance	860	1,019
Other Intangibles, Additions		0
Other intangibles, Amortization	(152)	(159)
Other Intangibles, Finite-Lived, Balance	708	860	1,019
Intangible Assets Net Including Goodwill [Abstract]
Total intangibles, Amortization	(152)	(159)
Right Of Use Intangible [Member]
Other intangibles, Finite-Lived
Other Intangibles, Finite-Lived, Balance	18	29
Other Intangibles, Additions		10
Other intangibles, Amortization	(18)	(21)
Other Intangibles, Finite-Lived, Balance	0	18	29
Intangible Assets Net Including Goodwill [Abstract]
Total intangibles, Amortization	(18)	(21)
Trademarks [Member]
Other intangibles, Finite-Lived
Other Intangibles, Finite-Lived, Balance	136	186
Other Intangibles, Additions		0
Other intangibles, Amortization	(51)	(50)
Other Intangibles, Finite-Lived, Balance	85	136	$ 186
Intangible Assets Net Including Goodwill [Abstract]
Total intangibles, Amortization	$ (51)	$ (50)