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We measure rotation periods and sinusoidal amplitudes in Evryscope lightcurves for 122 two-minute K5-M4 TESS targets selected for strong flaring. TheEvryscope array of telescopes has observed all bright nearby stars in theSouth, producing two-minute cadence light curves since 2016. Long-term,high-cadence observations of rotating flare stars probe the complexrelationship between stellar rotation, starspots, and superflares. We detectperiods from 0.3487 to 104 d, and observe amplitudes from 0.008 to 0.216 g'mag. We find the Evryscope amplitudes are larger than those in TESS with theeffect correlated to stellar mass (p-value=0.01). We compute the Rossby number(Ro), and find our sample selected for flaring has twice as many intermediaterotators (0.04<Ro<0.4) as fast (Ro<0.04) or slow (Ro>0.44) rotators; this maybe astrophysical or a result of period-detection sensitivity. We discover 30fast, 59 intermediate, and 33 slow rotators. We measure a median starspotcoverage of 13% of the stellar hemisphere and constrain the minimum magneticfield strength consistent with our flare energies and spot coverage to be 500G, with later-type stars exhibiting lower values than earlier-types. We observea possible change in superflare rates at intermediate periods. However, we donot conclusively confirm the increased activity of intermediate rotators seenin previous studies. We split all rotators at Ro~0.2 into Prot<10 d and Prot>10d bins to confirm short-period rotators exhibit higher superflare rates, largerflare energies, and higher starspot coverage than do long-period rotators, atp-values of 3.2 X 10^-5, 1.0 X 10^-5, and 0.01, respectively.

EvryFlare II: Rotation Periods of the Cool Flare Stars in TESS Across Half the Southern Sky