Hey Mate,
Mash out importance is in constant question on this forum and has such a wide range of opinions, being them based on theory or actual practice, you will need to establish your own opinion and trials to make the final judgement based on your system and experience!
Ultimately a mash out is desired to stop the enzyme activity and makes your grain and sugars musshier [for lack of a better word] so they 'rinse' or sparge better... gaining more fermentable sugars, gaining better efficiency... but does it effect flavour? Or any other aspect of the beer? I don't know BUT can say your beer will be an awesome beer without it. Or you can try similar to what I do and batch sparge a little hotter and hit temps that way...
My mash goes like this:
I have 100L esky as a mash tun and mash about 18-20kg of grain depending on desired beer.
I mash at 2.5L per Kg of grain [same as you]
NB: First couple of batches I try filling esky with boiling water to get to mash out but ran out of room [Same as you]
So now, and for 30 odd batches so far, I do this:
Mash at 2.5L per kg of grain for an hour or 90 minutes, depending on stuff... tun hold temps so no stress.
THEN: Here comes the bit you wanna hear;
After I drain my first runnings into kettle and tun is empty, ready for my first batch sparge, instead of water being at 76* sparging temp it is near boiling!
So my batch sparging volumes are about 25L, so I add 25L of near boiling water to 18 odd Kg of grain and viola! 76* = mash out! I never did a calculation or used beer smith to work this out, just pop lucked it about batch 3 and have now have it down to perfection. As in if I fill my HLT to a point and run my immersion heater for the mash/60 minutes, it just works!!
Let settle and drain again. Then sparge with water at sparge temp, as grain bed temp is up, and all is sorted!
repeat till volume/kettle full to desired volume and boil etc....
ANYWAY:
I average about 80% efficiency and I would rather drink no one else's beer!
Over spoken point is, mash out is not critical to your beer. Learn your system and try different things to achieve what you are trying to achieve.
Either way, keep brewing as I am sure if your first batch of AG isn't the best beer you have ever had... it will be your second!
Cheers