Also true.
To feel save, give your Beam armed Fighters a backup sensor, it's ok if it has a range of 100k agaisnt 500 ton targets or bigger.
Once they've found the enemy, you don't need the long range.
So, in your case, use an R5 to R10, reduce the size by as much as possible, and get rid of the Electronic hardening, you might notice your fighters cost more than a low tech frigate.