I've now definitely got at least part of the answer (or perhaps the whole answer if I was over-thinking it?)
The decoded message is
Be there at 7!
To get there... a simple decoding as ASCII reveals
nothing meaningful. "HZQYWNQK]O["
However, there's another kind of
binary code referred to as a "gray code", where only 1 bit changes between each consecutive number.
Rather than 0000->0001->0010->0011->0100->0101->0110->0111->1000 -> etc.
Instead use 0000->0001->0011->0010->0110->0111->0101->0100->1100 -> etc.
In each case the only bit that changes when counting in the Gray code is the same as the highest bit that changes in a normal binary number.
(or "cheating") we can convert to a standard binary code
1110000 1101100 1100001 1101110 1100101 1110100 1100001 1110010 1101001 1110101 1101101
which can then be interpreted as ASCII, yielding the word "planetarium"
It is not clear to me at this time
Which specific planetarium is intended, as there seem to be several in Kentucky https://www.go-astronomy.com/planetariums-state.php?State=KY
and none of these are near to
a location I'd identified from earlier clues
combining Eiffel 65 (the band who wrote the words to the hint song) with Kentucky, to get Paris, KY, which has an eiffel tower (quite a small one indeed).
but another more obvious location is available,
just over an hour's drive from Hummel Planetarium
a "field trip" can (normally) be arranged
https://planetarium.eku.edu/field-trip-group-visit-information but I see nothing to suggest it's re-opened yet following the "temporary closure"?