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Paizo never officially created a list of slot affinities like existed in 3.5. They did say that items published in one slot shouldn't be freely moved to another. (You shouldn't turn a Belt of Giant Strength into a chest slot item, etc.)
Some Abilities Are Assigned to Certain Slots: Some of the magic items in the Core Rulebook are deliberately assigned to specific magic item slots for balance purposes, so that you have to make hard choices about what items to wear. In particular, the magic belts and circlets that give enhancement bonuses to ability scores are in this category—characters who want to enhance multiple physical or mental ability scores must pay extra for combination items like a belt of physical might or headband of mental prowess.
If there is a trend of all Core Rulebook items of a particular type using a particular slot (such as items that grant physical ability score bonuses being belts or items that grant movement bonuses being boots), GMs should be hesitant to allow you to move those abilities to other slots; otherwise, they ignore these deliberate restrictions by cheaply spreading out these items over unused slots.
Having quoted that, I could not find a trend for size alteration magics being in a particular slot (certainly not in the CRB). And another section on that same page says that the neck slot is one of the more prized slots for players (in that there are many useful neck slot items you could otherwise be using). Your GM may be looking at other items that let you use a specific spell an unlimited amount per day like the ring of blinking or ring of invisibility when he says neck is not the appropriate slot.
Having said that, if the GM feels this item is appropriate for your campaign then have fun. But it's probably a bit outside the scale of what a Paizo-published item would be capable of. Ring of blinking or ring of invisibility can be used an unlimited amount of time per day but must be reactivated on a fairly regular basis.
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In terms of “getting your GM to see it your way”, i think if you buy a few wands of Reduce Person, around the 30th or 40th time you interrupt a play session out of combat to use your wand GM might start coming around.
You hopefully are jesting.
Annoying your GM and the other players isn't a bright idea.
Have your GM look at Juggernaut's Pauldrons, it can cast enlarge anytime per day, and lasts until turned off. it also does other things. he could use this as a basis for pricing the item you want. They take the shoulder slot, you might be agreeable to have your item take the shoulder slot rather than the amulet. I haven't found too many uses for the shoulder slot other than a cloak of resistance.
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Have your GM look at Juggernaut's Pauldrons, it can cast enlarge anytime per day, and lasts until turned off. it also does other things. he could use this as a basis for pricing the item you want. They take the shoulder slot, you might be agreeable to have your item take the shoulder slot rather than the amulet. I haven't found too many uses for the shoulder slot other than a cloak of resistance.
Cloak of the Mountebank? Cloak of Displacement?
Have your GM look at Juggernaut's Pauldrons, it can cast enlarge anytime per day, and lasts until turned off. it also does other things. he could use this as a basis for pricing the item you want. They take the shoulder slot, you might be agreeable to have your item take the shoulder slot rather than the amulet. I haven't found too many uses for the shoulder slot other than a cloak of resistance.Cloak of the Mountebank? Cloak of Displacement?
once per day = pass for me. For a single use teleport, I'd rather use boots of lightning leaping, or just flat out boots of teleportation.
I'll take a bonus to saves over miss chance, especially one that can be recreated with a wand or a caster.
In fact, I'll almost always take a cloak of resistance over any other shoulder slot item, unless there's a particular build I have in mind.