Offensively, the SASF unfortunately faces the same problems as the rest of the Taurian fleet units. Their gunboats have to get close enough to the Smoke Jaguar dropship fleets to launch their nuclear payload.
And it's a very spread out force. So we're looking at numerous attacks consisting of one or two Tigress and Tigress like gunboats, and/or one massive attack by the entire SASF as the invasion force approaches its target. There's not really time or resources for anything else.
Based on canon information, we could expect the TDF/SASF to have access to Alamo-type warheads that can be delivered by gunboat, and some sort of higher yield warhead used to deflect asteroids, with an unknown delivery vehicle. Either way, you can't really expect a Tigress to carry more than two weapons.
(please note there isn't a lot of detailed information on the SASF or the TDF's planetary defenses, and even the information we have is post-clan invasion data. There is technically wiggle room in these assessments as a result, but anything beyond what is canonically known is pure speculation. The Taurians' capabilities could be better, but they could also be worse)
Numerous smaller attacks would have to depend on fast passes, which at least guarantee the gunboats would be able to launch (as they would be moving too fast to be killed before reaching launch range), and if they angle them correctly, any survivors could probably make it to the planet to join the defense.
The downside is that the gunboats are going to be subjected to fire as they pass, and if there's only a small number of gunboats attacking a properly laid out formation of dropships (and warships if the warships are on escort duty), they aren't likely to survive. Also, even if we assume the nukes they are carrying are high yield enough to take out a ship with a single hit (not a guarantee), they still have to actually hit the ship. Also not a guarantee.
So the harassing attacks may or may not cause attrition to the invaders, but will definitely inflict attrition to the SASF attempting them. Mostly because gunboat carried nukes don't have standoff capability like bearing only fire. It's a risky strategy, that might be trading platforms you can't afford to lose for platforms the Jaguars can, even if the ships you kill are individually bigger and more impressive than the gunboats you lose.
The final massed attack over the target world has better chance of succeeding. Massed together, the SASF might be able to muster a couple/few hundred gunboats (very rough estimate), plus any fighters the local defenses can bring to bear, plus tactical nuclear weapons. Assuming a single Jaguar galaxy is committed to the assault, they might face around two hundred clan fighters, plus the dropship transports, plus any warship escort and their fighters. That could be a fight the SASF could win.
But that's assuming one assault against one of the Taurian homeworlds, where the entirety of the SASF is brought to bear. A grand Luthien style final assault where the bulk of the Jaguars are committed isn't one the SASF is or even could be equipped to repel. And even in the more restrained case, the SASF would likely be so badly depleted that they couldn't hold up against a second such attack.
Honestly, the best thing the Taurians could hope for is that the Smoke Jaguars attempt to emulate the SLDF and try clearing out each asteroid base one by one. In that case, the Jaguars would probably still come out on top, but they'd be trading a lot of elementals fighting SASF marines while the Taurian gunboats withdraw. Ultimately, the Taurians have other bases their gunboats can operate from, and the Jaguars are going to need those elementals for the occupation to come.