Wriggley your phamacist told you that, when there are much higher doesed aspirin on the shelf for sale all the time? That is shocking and false information, deserves a complaint IMO.
If you are in the UK OP you can get them here not disolvable https://www.boots.com/en/Boots-Aspirin-75mg-Enteric-Coated-Tablets-56-_872425/
If your getting a prescription for your doctor ask them to specify that the prescription says not disolvable.