Assalam'alaykum, ukhti. I can see dat u r facing d same prob i had a few weeks back but Alhamdulillah,thru constant googling, i found a site w/c lists various Markaz     (centers) complete w/ map/ location & contact nos. here in doha teaching Quran & Arabic. Unfortunately most of d timimgs r in conflict w/my work & some qre quite far fr where i am staying. So just check out this link and choose whatever suits u.i hope it'll help.Here's d link:

http://towardshuda.wordpress.com/centers-for-non-arabs/