I was going to say, there defintely is a an inexpensive hotel downtown: the Extended Stay America Riverwalk. You can get a room for around $50 bucks a night plus tax. It's not that nice, but it's ok for a place to sleep.
The best karaoke bar in the city, bar none, is Harmonious Monk's. It's not anywhere near Downtown, but worth a trip if that's your kinda thing.
Here's the location & reviews:
Google Maps
"where the action Downtown" would be long Water Street, E. Bay Street, E. Forsyth, & E. Adams mainly. Here's rough map showing some the hot spots:
The full list would inlcude:
- Marks, Dive Bar, TSI, & The Ivy all on E. Bay Street.
- Twisted Martini, Mavericks, and (kinda) Chicago Pizza & Hooters inside The Jacksonville Landing complex on Water Street
- London Bridge and Poppy Loves Smoke on E. Adams
- the brand new Dos Gatos lounge on E. Forsyth. Cafe 331 is a bit out of the way, further down on E. Forsyth and isn't hugely popular.
Thats 10 (or 12) spots to check out in a very small area, very walkable.
If you want to expand your bar/club/lounge hopping by a few miles, you can add 10+ more to your list.