This mission gave me a LOT of trouble too.
I had an INGENIOUS tactic that worked but I still failed the mission.
Take off, fly straight for the mudhens, then do this: Lock one up, launch, he freaks out and drops his A2G payload. Break lock go for the next guy. Rinse and repeat until the mudhens have no more bombs left!
But they just fly over the runway harmlessly and the mission fails anyway. Sigh.
I eventually beat that mission by taking off from the taxiway, burning HARD for the fighter sweep, taking 1 or 2 with me on the way, LAND at nalchick, refuel and rearm, and wait patiently for the F-16s to complete their SEAD and turn around. Once they do, go for the mudhens.
Honestly, a lot of luck is required as well. I've had missions where the initial flankers kill the eagles flawlessly and were there to help, and I've seen them get wiped out from the get go.
Hope this helped...