Are there any hotels with in room Jacuzzi >
Baymont has them.
When I entered "hotel spa evansville" into google," I got this link:
From just a quick scan, it looks like in addition to the Baymont mentioned above it looks like the Holiday Inn Express Hotel & Suties (not the north one) and the Comfort Inn have them too. But, be aware this is based just on a quick scan, I didn't look at them that closely (but I think it's likely there are more of them rather than fewer).
You also might (but I'm not sure) be able to filter on some of the booking sites for this, but also might only be able to filter for the (entire) hotel having a spa (i.e. not in room).
Bottom Line: There aren't that many hotels in Evansville, and if you check a booking site with a hot tub filter, it will probably reduce the number even more and you can then check the handful that remain.
Hope this helps,