I would 3 bet it maybe %25 percent of the time to stop predictablility, but as for this not putting in value it makes no difference because you get a free c/r on the flop if you want it. Also you could wait till the turn and get an extra small bet if your against an aggresive opponent. But either way your AK-AQ will make money in the BB to a stealer.
Still I don't know why you don't up your tables. Yeah your winrate may be cut in half.... but you could be on 3 times more tables so thats more money by 50%. Plus you will get 3 times the FPP'S which is a lot in terms of profit. GL to you and I won't miss playing you
since I have just recently retired from Limit FR.