Granted my working knowledge of Kentucky arenas isn't what it used to be but I think if it's Kentucky, it would have to be Lexington or Louisville. I don't think the renovation of the barn in Owensboro ever actually happened because the Icemen's owner never actually intended to do it.
In Lexington, you have
Rupp (if it still has ice capabilities) and Memorial Coliseum (I don't think it ever had ice) but you'd be battling UK not just for advertising money and eyes but also dates.
Bowling Green has E A Diddle Arena but I can't find anything about ice capabilities. The same issue as Lexington except more so as the Arena complex also included offices and classrooms for certain departments.
Newport/Highland Heights has NKU's BB&T Arena. It was designed to be basketball first and looks like it would have a floor big enough with the retractable seats in one end (
see their seating chart for monster trucks). That would leave a huge weird spot that I'm sure someone with half a brain would use as a party zone or something like that. BBBUUUTTT the arena is less than a 15 minute drive to US Bank Arena in where the Cincinnati Cyclones play. That area pretty much is Cincinnati to the point that Cinci's airport is on the Kentucky side of the river and the University of Cincinnati played a season at BB&T Arena while their on-campus arena was being renovated.
In Louisville, you've got the Gardens which will need a large renovation and to not be used as a
giant storage unit, Broadbent which has a mile-wide floor (
you can see the gap on the near side and six rows of seats on risers on the far side) and likely needs a bit of a renovation, the KFC Yum! Center is a non-starter, and then there's Freedom Hall. You could likely tarp off the upper leverl of the Freedom and you'd still have an SPHL level seating capacity but you'd also run into the open end party zone type deal (
ex. the near end at the Louisville Fire game).