In a "normal" full-size blender, place limeade mix and maybe half or so of the frozen strawberries; and use a hand-juicer to add the juice of one lime and one orange (including as much "pulp" as possible!) and begin blending at moderate speed.
Then add the two bananas, broken into a few pieces, along with a cup or so of ice.
Add more strawberries, and blend again.
Now start tasting......
If it needs to be sweeter, add more orange juice and/or banana.
If it needs to be more "sour", add juice of half-a-lime.
Blend again, and taste again.
NOTE: Once the blender is half+ full, I usually stir CAREFULLY while blending-keep it shallow! However, this is optional, and DO NOT DROP THE SPOON INTO THE BLENDER AT ANY TIME!! (like I did once!)-this may cause the side of the blender to "blow out" and make a huge mess all over the kitchen, and the daiquiri making will be over for the night, and you will not be very popular for awhile.
Add more strawberries, blend again, and taste.
Repeat the sweetening or sour-ing step again if necessary, and blend again.
[now can increase the blending speed]
Start watching the consistency, and add ice if it needs to be thicker.
By now the blender should be nearly full.
If the taste is about right, do a high-speed blend for a good long time, which is when people start complaining about the noise or the blender starts to smoke.
Adequate blending, and the bananas, make it nice and smooth.
And, the perfect "blend" of sweet and sour is ideal........but everyone has their own perception of the best taste, so you may want to quiz your "customers" on their preference beforehand or give someone else a spoonful to taste.
Once finished, which is usually when the blender is about to overflow, pour into short glasses, and serve with short/fat straws-a "ladle" is helpful for this step at first.
IF you want to add rum, 2-3 shots is enough, but do it early enough so that you still have room in the blender for more ice to thicken. Then blend like crazy.
Enjoy!-but watch out for the brain freeze.
I learned about these daiquiri's when working for Dow Corning at Midland, MI in the late 1980's. There was a large group of young professionals that would have house parties from time to time and someone (can't remember who) would usually make these, and I really liked them so I started watching in the kitchen. Obviously it's not an exact recipe, and I think the oranges is something I added later, but a little practice and your own adjustments is all you need to have a real crowd-pleasing drink for all ages.