Chubu Shizuoka
Kuchisakamoto Onsen (municipal bath)
Name in Japanese. Look for this on the sign, or show it to a taxi driver.
Municipal day-trip onsen in the mountains. Natural hot spring (sodium bicarbonate spring, per the city)

Tattoo rule
What the official page says
刺青,タトゥー,ボディーピアス等があることを理由にご入浴をお断りすることは一切致しません。これは静岡市営の他の入浴施設においても同様です。
We do not refuse bathing because of tattoos, body piercings, etc. The same applies to Shizuoka City’s other municipal bathing facilities.
Shizuoka City's municipal bath FAQ says tattoos are never a reason to refuse bathing, and that the same applies at the city's other municipal baths. The city lists Kuchisakamoto as one of its facilities.
Remote: about 80 minutes by bus from Shizuoka Station plus a 40-minute walk, per the facility.
Read the rule on the official pageShizuoka City facility page
Where it is
Chubu region, Shizuoka prefecture. About 87 km in a straight line from Hakone.
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Rules can change. Check the official page on the day you go. Any paid link is labelled next to the button. We have not visited this bath ourselves.