The Hinds should have worked, can you post a save?
My solution for any good SAM site: while close enough to not waste too much gas but comfortably out of range,descend your Tornadoes to the minimum launching altitude or 400' whichever is higher. Do NOT go to their absolute minimum altitude (it will make sense in a second). Have them fly at the target (terrain masking helps) down low, using the curvature of the Earth as cover. Once they are close enough to be launched on by the SAM, fire all your HARMs, then send the jets to absolute minimum altitude and have them run away, bravely. This usually gets you within 20-30 nm. Climb back up once out of range or the site is neutralized. The missiles should get through.
This will improve your odds for a couple reasons:
1 - the SAM site wasted missiles on your jets, which will go dumb as soon as your jets drop back below the horizon. Most SAM sites have enough ready missiles that this isn't a huge boost but every clogged datalink channel or missed missile is a plus.
2 - In a max range high altitude engagement, the SAM site will get 3-4 opportunities to fire on each missile as they re-engage those that survive each salvo. Doing it this way gives the SAM site one, MAYBE two salvos to fire at the missiles, almost always leading to at least one to two missiles getting through to the juicy radars.
3 - the FCR will be emitting, where applicable, meaning your HARMs will also target it. This is the real prize in most SAM sites because without a search radar they can still fire and guide with external cues, but without the FCR the site is useless.
This is my go to strategy for any SA-XX. You can play with it as it works for you, experiment with altitudes to find the best compromise.
the caveat here is you have to scout the ingress area first for SA-9/13/15/19 and any AAA.
if you had more forces you could just drain the magazine of the SA-10 by launching a ton of HARMs and decoys but your only real option due to magazine / bandwidth limitations is the low ingress option, which is not safe but can be effective depending on how thick the defenses around the grumble are. generally (or, well, at least i always design it this way) there will be some outlying defenses- they defend the grumble, and the grumble defends them.