Ogero DNS server is in Lebanon, so it is going to be your fastest option. I'm assuming that it's a half-decent server.
Cloudflare would be interesting for other aspects.
Tracing route to 1dot1dot1dot1.cloudflare-dns.com [1.1.1.1]
over a maximum of 30 hops:
** 6 hops inside Lebanon, yay! **
7 76 ms 120 ms 71 ms ix-ae-24-0.tcore1.WYN-Marseille.as6453.net [80.231.217.25]
8 120 ms 129 ms 93 ms if-ae-8-1600.tcore1.PYE-Paris.as6453.net [80.231.217.6]
9 85 ms 86 ms 112 ms 80.231.154.14
10 86 ms 80 ms 80 ms 1dot1dot1dot1.cloudflare-dns.com [1.1.1.1]
It goes at least all the way to France (on Ogero DSL), as you can see above.