Inbound deal

The advantage is position. Somebody has decided your audience is worth reaching before any conversation about price, so the discussion starts at what it costs. Hold on to that by asking their budget range early instead of naming a number first.

It also pays to check who is actually writing. Plenty of inbound email comes from agencies fishing on behalf of nobody in particular, or from products that will not survive contact with your audience. Ask what the campaign is, who the client is, and when it runs. The ones with real money behind them answer inside a day.