islabike cnoc 14 and tired size

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Hello
need to prepare since the winter is comming and need to fix the bike to my kid (5 years old) since the kinder garden is 2km to walk he use the bike,so i will do like this http://www.wikihow.com/Convert-Bicycle-Tires-Into-Studded-Snow-Tires and "innsert" some spikes.
i will not try this on the orginal tires so need to buy some new.
i did mail islabike and ask about max size and they told me that have only try 14x1.5 (254 - 38) and the did think any thing bigger will get problem.
so i ask if any one have try bigger? would be nice to get 1.75 since they would be bether on ice etc.
like this http://www.ebay.com/itm/Kenda-14x1-75-Black-Street-K103-Bike-Tire-/371061406761
mabey even this one http://www.niagaracycle.com/categories/sunlite-bicycle-tire-14-x-2-125-kenda-mx3-k50-all-white
this 1.5 don``t look like something to would be good on snow http://www.halfords.com/cycling/cycling-parts/tyres/kenda-kwest-k193-reflective-tyre-14-x-1-5
 
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