Have you considered the Triggered Extra?
When I think of magic, especially when concerning tome-bound magic like this summon effect, I think to the Wizard class in Pathfinder or Dungeons and Dragons. At the start of each day, a Wizard needs to reference his/her spellbook in order to prepare their casts for the day, of which they can only manifest a finite number.
Applying this concept to Mutants and Masterminds, there is an Extra called Triggered; it allows you plant or prepare an action beforehand and goes off on the condition you set when you create the power (proximity, sounds, time, commands, etc), but you can only use this ability as many times as you bought the extra. So you can choose your summons whenever you wish, but there are consequences to locking in your summons all at once or keeping uses free. On one hand, you don't have to worry so much about loosing the book right away if you already made all your choices that day; on the other, you have more versatility if you summon as you need to (such as summoning a healer if you have to deal with significant injuries or a skill horse if you need a particular skill-set you don't have access to normally)
As to the specifics, I highly recommend taking Removable; I know that you want to avoid using it, but 7 points per rank is a hefty price AND summon can be a gas guzzler depending on the Summon-specific extras your player wants to use. I also suggest taking 1 rank of Subtle for the power; Triggered has a nasty little side-effect where your stand-by effects can be discovered with a Perception check, limiting that to Magic Detection or Magic Vision will definitely help them out in that regard.
TL,DR: here's my proposal
Removable,Variable Summon with Triggered and Subtle: (7r+(1+c))*4/5 or 3/5 | r=ranks, c=casts
For example, lets say you want to use 50 points:
50 / .6 = ~83
A) 7*10+(12+1) = 83 | 12 casts of at least 150pp summons
B) 7*8+(26+1) = 83 | 26 casts of at least 120pp summons
Without the discount from Removable, it looks like this:
A) 7*5+(14+1) = 50 | 13 casts of at least 75pp summons
B) 7*3+(28+1) = 50 | 28 casts of at least 45pp summons
NOTE: I say "at least" because summon can have enough extras to meet the 5pp per rank Variable gives you, though it can go as low as 2pp and normally hovers around 4pp.