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In our previous work (Paper I) we applied several models of high-frequencyquasi-periodic oscillations (HF QPOs) to estimate the spin of the centralcompact object in three Galactic microquasars assuming the possibility that thecentral compact body is a super-spinning object (or a naked singularity) withexternal spacetime described by Kerr geometry with a dimensionless spinparameter $a\equiv cJ/GM^2>1$. Here we extend our consideration, and in aconsistent way investigate implications of a set of ten resonance models so fardiscussed only in the context of $a<1$. The same physical arguments as in PaperI are applied to these models, i.e. only a small deviation of the spin estimatefrom $a=1$, $a\gtrsim 1$, is assumed for a favoured model. For five of thesemodels that involve Keplerian and radial epicyclic oscillations we find theexistence of a unique specific QPO excitation radius. Consequently, there is asimple behaviour of dimensionless frequency $M\times\nu_{U}(a)$ represented bya single continuous function having solely one maximum close to $a\gtrsim1$.Only one of these models is compatible with the expectation of $a\gtrsim 1$.The other five models that involve the radial and vertical epicyclicoscillations imply the existence of multiple resonant radii. This signifies amore complicated behaviour of $M\times\nu_{U}(a)$ that cannot be represented bysingle functions. Each of these five models is compatible with the expectationof $a\gtrsim 1$.

Super-spinning compact objects and models of high-frequency quasi-periodic oscillations observed in Galactic microquasars. II. Forced resonances