There is no 3" coil that will handle that continuously. I'm pretty positive no 4" coil can either.
As far as running it off a "3000W" amp I think if you're smart about it you'd be OK. I've run a pair of tc2000's off a Stetsom 7K....just gotta be careful and know when to back off, it you're a complete arsehole you could blow it up with
Is this a joke? pretty sure a TSNS can handle 2500 watts from now until christ's return. not to mention the tc 5400 old school version. both of those were rated at 5000w rms. i've seen videos of a tsns coil taking a wall socket and being fine.
Everyone seems to forget this, but the audiopulse axis is pretty similar to the tc 3000, and they rated in their manual and website at 2500w rms.
And yes I know they are more of a musical sub then a spl beast, but if you throw 1500 at them you're going to want more. I'd say a fair rating on this sub would be 2000w with a good SSF set.