[verb (volitional)] + にも + [same verb (potential), negative] [verb (volitional)] + にも + [sentence (obstacle)] [noun] + しようにも + できない
〜ようにも〜ない means "can't, however much you want to": you would do it, but something stands in the way. The same verb usually comes twice – first in the volitional form with にも, then in the negative potential.
The second verb is the potential, not the plain negative: the point is that you can't, not that you don't.
A する verb takes できない in the second half.
The obstacle is usually stated in the clause before, as in the examples above. The sentence sounds frustrated or resigned, where a plain できない just reports the fact.
These go beyond the verb repeated.
The second half can name the obstacle instead of repeating the verb.