  After nearly three decades of discovery, many exoplanetary systems have been
studied and characterized in detail with one important exception: exoplanet
magnetism. Although many surveys sought to detect magnetospheric radio
emissions from exoplanets to directly measure their magnetic field strengths,
they have yet to reveal an unambiguous detection. However, the indirect
detection of exoplanet magnetic fields by measuring their influence on their
host stars via magnetic star-planet interactions has recently gained prominence
as an alternative method of discovery. This third paper of the ROME (Radio
Observations of Magnetized Exoplanets) series presents the results of a
targeted radio survey of eight nearby exoplanet-hosting systems that may engage
in star-planet interactions. This survey, conducted with the Arecibo radio
telescope at $\sim$5 GHz, has the greatest frequency coverage of any to date,
while providing mJy-level sensitivity over $<$1 s integration times. No
exoplanet-induced stellar radio bursts were detected. The orbital phase
coverage of candidate systems for magnetic star-planet interactions is
described, and the survey results are examined within the context of the plasma
flow-obstacle paradigm and searches for star-planet interactions at other
wavelengths.
