IF you only want 3k, you bet now. If you want more, you look at the EV cost of waiting, versus the EV gain in more liquidity. Which is pretty much what I said earlier... The earlier you bet, the easier to win.. and the greater the EV (as a percentage) of each play.
And to answer your question, no. I don't bet when limits are 3k (unless that is max).
And to answer your question, no. I don't bet when limits are 3k (unless that is max).