Asking for reduced minimum.

We are about to sign a contract on my dream venue! However, when we first made contact we were led to believe that our date in April would count as the off-season cost (this is documented in an email). When we toured the venue, we were told that April is actually the beginning of the wedding season but they could meet us halfway ($5,000 less instead of the initially communicated $10,000 price difference).


Is it too late to ask for them to give us the lowest minimum? We haven't signed yet and only just put a hold on the date.