i like the way you have it in the title, only thing is with the way you sort of 'stay' on the eee sound, having the spelling so short might trick people and you;d be forever correcting them. btw i;ve never heard is spelt with 'lie' in the middle, only ever 'lee'. a friend of mine named her twins Jaida and Aliqua- and yes, aliqua is pronounced exactly as it is written, and a 'kwa' sound on the end.
have you tyhought of doing double ii? i mean, just cos you dont like the double A doesnt mean you cant do double I. each way i think of it though, i still come back to the original spelling, it just makes all the letters sound right when you say it i reckon
oh and the singer Aaliyah, who died in the plane crash-(sung the song 'try again) hers was pronounced the exact way you want it to be pronounced, not with a 'lie' in the middle, but a 'lee' sound.