Since you quit IRC: I've been playing a lot of PBE Proving Grounds ARAMs lately and Lulu is so absurdly good there; anything with poke and/or AoE is lol, but omg I just rejoice when I get Lulu, even though lamers usually dodge so I can't play her :(
My other main Sona is straight up OP there because poke / AoE ult / infinite sustain with Chalice of Harmony etc. :3 so I like ARAMs a lot...
11pm my time is fine, but i can push it a bit later if needed. every day should be okay for me, so tell me when you'd like to battle (say, monday at 2pm your time, if i'm not mistaking with the timezones?)
what about playing at around noon your time, or up to a couple of hours later if you prefer? that's evening for me, which is fine. earlier is good as well