The line you took--Q/A
/A
K
T
--is perfectly reasonable, but I think a strong case can be made for K
Q
/A
A
/T
. You give up the very unlikely chance for a royal in back and the likely chance for a regular flush in back to greatly increase your chances for FL. Down this line, you only need to catch a K or a Q for the top and some hand that beats AA in back. This may or may not be the best line with this starting hand, but it has its merits.