i'm not tight

honest, i'm just thinking economically, if i need to spend time & money digging it out and stoning it, I will
It's not about being tight, it's not done for a reason.
Don't think it's quite as simple as just banging some cement in to the soils and mixing, it would depend on what material it's is, it's aggregate size and moisture.
Your still going to have to dig the vegetation off, so depending on what your final levels are you might have to bring stone in anyway.
No idea on what depth you would need to do as would need to be calculated properly.
Then for the cement if it's something like 10% per volume, that's 15 bags of cement or around £100, no idea if that's a correct amount if it's more like 15% it's 23 bags or £150 ish, then there is all the time to dig it, mix it and then compact it
As your saying 3t out and in I'm guessing the area is around 8.5m2 if you dig out 180mm, it's just not worth the effort or the trial and error, you could try the soil stabilization and it works but if it doesn't it will cost you more to have to redo it