My suggestion would be to visit the area you intend to hunt well before hunting season and spend a few days learning all you can about where the Antelope are and how they move. Then, a few days before season opens, set up camp and use that time to fine tune what you previously learned.
Know this about Antelope. In my experience, when they move in herds they may stop and graze and one of them (often a female) will stand guard as sentry. They have a good sense of smell, can hear a caterpillar crawling from fifty yards away and have the visual acuity of superman. They can spot movement as minor as blinking eye lids from half a mile away.
Now, having said that, they're inquisitive and if they're not spooked they'll often move closer to check out something that's strange but does not appear to be a threat.
One of the more successful techniques I've learned about has been to anticipate their movement, getting ahead of them, and lying in wait; or working stealthily toward them (usually belly crawl through cactus) to get within range.
If they haven't been shot at or harassed yet in a given season they tend to be easier to hunt.
They're a challenge to hunt; that's why we call it hunting rather than shooting.
Good luck ..................