Hi Doc,
I really enjoyed Badami and as Aadil has already mentioned, a combinination of Aihole, Pattadakal alongside Badam, makes for a few well spent days!! The caves at Badami are interesting with great stonework, halfway up to the last cave, the geological layering of the rock is quite surreal! For me though the setting was everything, the horseshoe gorge, red stone and blue lake infused a kind of easyness on the eye and spirit!! Of course this is India and the life around the "tank" was frenzied, industrious and chatty.
I never really did Badami justice as I was on a taxi trip with 5 other people, suffice to sayu I would gladly go back and spend a few days in this lazy little frontier town!! The houses along the main street are very photogenic!
The temples at Pattadakal are intricate and lonely, a throwback I'm sure to the early days of the better known "sites" on the " pancake trail" Aihole was a skip through to be honest.............a downside of group travel, but I shot the sh*t with the locals and the chai was "just sublime" and departed as the sun settled just above the horizon, with another great memory of Ma India!!
Travel between the three sites is wonderful, we saw sheep dogs for the first time here, to protect the goats (sheep) rather than herd them, littered around are many temples new and old hewn from the reddish local stone, hand operated fodder cutters, charpoys piled against the walls of squat homes, kids manning the hand pumps for water and buffelo being herded down the roughly single track of tarmac. Mustard fields give a lovely contrast to the red, burnt enviroment.
All in all I would gladly give Badami three or four days, just to explore, the people were for me friendly, and a bit aloof in a proud kind of fashion. Tourism in western terms is still in it's infancy here and there's a minimum of hassle from the "usual suspects"
I don't know which way you're approaching from but I would recommend a visit to Dandeli as well..................More!