I use a variety of covers on THS. For the most part, my favorite covers on THS have been polished pearls and polished hybrids. Solids have not been favored at all until recently.
Not so much cover related but lately I have been sticking to low diff balls on THS that would be labeled as control type balls (IQ Tour Solid and Track Tundra). The fact that they are somewhat less responsive down lane has become a more favored ball motion to me as of late.
Sport patterns, I mostly stick to solids with surface. Given my rev rate and lack of underlying friction on the left, I go with stronger equipment that bleeds energy early and doesn't go sideways off the end of the pattern.
