* = after a BIT
This was actually the full hand from a post Noble made in Interesting bridge hands. I was North, and was considering whether or not to make a light double over 3♠ if it was bid. After West tanked, I thought it was clear to just pass. Anyway, maybe I have a double and maybe I don't - that's not the point here. Mostly I'm interested in whether or not West is allowed to think then bid 3♠ like this. At the table, West was someone who we think is an honest player, and he said he was considering bidding a wonky lead-directing 3♥ but ultimately decided against it (he apparently thought he was playing McCabe over passes!). Anyway, we didn't call the director, both because it wasn't a major event and because it's not clear that either of us had a bid anyway.
In general, are you allowed to think then make a less than invitational bid when you are unlimited like this and your hand is actually not close to an invitation (even if you think you legitimately have a problem about whether to bid or not)?

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2♠ p 3♠* AP