I think this time of year is always dry - the main time of year for gift card deals are November - December. I think it is starting to feel more dry because many of the easier avenues we have used have been closed down in the last 2 years, including using gift cards at target, using gift cards at best buy, using swagbucks at best buy, and now happy cards may soon follow.
That being said, I would expect some new Amex offers in July, especially on business cards since the lowes and staples offers from the first half of the year are expiring.