Auto choose shipping method

I sell different kinds of products and I don’t want the customer to choose their own shipping option because if the total no. of items or its volume won’t fit in a certain box.
For eg.
Shipping options: (Small, Medium, Large) parcel
Each parcel has a limit on how many items it can carry (small = 3 items) and each parcel has a different price.

I as as customer, has 5 items…so of course it won’t fit in the small parcel so it should be the medium parcel.

Is it possible to automatically select a shipping method, according to a certain condition so that the customer won’t have to choose a parcel? because obviously they will choose the cheapest one. And its kinda confusing for me. If you can kindly suggest another plugin associated with woocommerce, that would be lovely.

Additional:
Once the customer has reached the limit of the large parcel, it would automatically add an another parcel size to add with the large parcel.