Here are a couple places close to the venue.

McMenamins elk temple
565 Broadway 
Tacoma, WA 98402

Hotel Murano
1320 Broadway
Tacoma, WA 98402

Courtyard by Marriott Tacoma Downtown
1515 Commercial St
Tacoma, WA 98402

Marriott Tacoma Downtown
1538 Commercial st
Tacoma, WA 98402

Holiday Inn Express & suites Tacoma Downtown
2102 S C st
Tacoma, WA 98402