I made a mod for myself where I just changed the cooldown for a Solanus down to one, as an experiment. Ten Solanus killed a fully upgraded Argonev. It was funny.
If you pump up any unit's DPS enough it'll be excellent. That's just the nature of the game, it's all about dealing as much damage as you can for as little cost as you can (with the ability to tank damage coming in a close second).
Solanus Adjudicators outrange starbases, so they will defeat one given enough time. The problem is that they're fragile and can't take any retaliatory damage. The best way to render them worthless (as TEC) is with an Akkan. Targeting Uplink improves the range of the Argonev, letting it hit the adjudicators while they're firing at it, which is really a death sentence to them.
Otherwise, stock up on strike craft and blast the adjudicators. A good 12 or so squads should be able to clean up 10 adjudicators in less than a minute, which is actually kinda BS given how exorbitantly expensive the unit is.