TonyH, the AA cells will normally have enough capacity to power the receiver and servos for several hours. Modern AA cells have around 2500 to 3000 mAh capacity, when I started radio boats we used 500mAh capacity cells and sailed for at least 2 hours. There is no reason why you can't make up a receiver pack with larger cells, I have in the past used subC cells for this when a bit more weight would be useful, although even they were only around 1500 to 2000 mAh packs. Thye only problems with AA cells is if you want to use them to run a motor, they have higher internal resistance so can't source higher currents. However the receiver and servos don't take all that much of a current in use as they are normally at rest. The only time I would be concerned about the current used is if you were using digital servos, these use more power due to the way they work.
Jim