Hello there. As tech shiriken corvettes en masse targeting the carriers one at a time does wonders. It's the same as vasari if you make Defensor's en masse and have them target carriers one at a time. When a carrier dies so does the strikecraft. 
I recommend making a 7 to 1 ratio of corvettes to carriers so, if they have 10 carriers you have 70 corvettes.  
You can get away with 5 to 1 if you only focus the carriers one at a time.

Use ctrl+shift and click on a unit to divide it into individual carriers.
This will allow you to target them way easier than normal rather than having to target them on the battlefield you can shift+right click in order making your corvettes kill one at a time. Just make sure you hold shift while right clicking on each target.

Having played a bunch of games now as tec and vasari even at the highest difficulty i honestly havent experienced this. 

My solution to a carrier focused assault as vasari is to fly my starbase right in the middle of the carriers. So far ive experienced the long range missile cuisers to be a bigger threat. Tec bombers even when massed dont do all too much damage to starbases.

Vasari does have dedicated anti fighter corvettes and some of their cruisers also come with point defense