AI games have their pros and cons. On the upside, they count for first win of the day bonus, they tend to be fast (25 minutes or less most of the time), and you can pick pretty much whatever you want and still win if you know what you're doing.
On the downside, bots are still way too easy to exploit and kill, even if you're trying to play fair against them, which makes AI games feel very, very easy after not long at all. A lot of champions can wreck AI teams so hard that they can literally 1v5 the bot team by the twenty minute mark (Mordekaiser comes to mind). It makes AI games pretty unsatisfying if you want a challenge.
I tend to do one a day for the IP bonus, but after that it's all ARAM all the time.