You could have kicked him and waited a while before looking for a new tank, so to lower your chances of getting him again. The other solution would have been to refuse to kick him and let him let him eat the penalty for leaving.

But what exactly was is reasoning for wanting to be kicked? You say it was because you had a BLM, or do you mean because you didn't have a BLM? I've seen tanks complain about a lack of BLMs, but never about having one.