Hey brother,
Yes, it is possible for you to get non-hosted account in google adsense.
I would suggest you to use Adsense over chitika as it is from global brand google and it is much more trustful and provides better service.
the process for enrolling with adsense starts with sending a application which contains your name,
address,phone no. and some basic information. and it gets approved within 2 to 4 days easily.
now you have to set up which kind of adds you want to set up and ur ready with it!
the only drawback is that:
adsense pays you via check from post! no paypal option is there!
otherwise its the best! i will appreciate if you have any questions to ask.
thanks