Every situation is different and everyone has tons of variables.
But for the most part, if it is as thick as you say, it would be awful hard to circle ahead.
I might sit tight if I decided to call or rattle.
Here is an example of one hunt I had where I jumped a buck and he went into some thick stuff that I couldn’t follow. I had about an hour before sunset and instead of hunting elsewhere I chose to sit and see if he would try to circle back.
I jumped a deer (green) on a flat in semi-open timber. I tracked (blue) and still-hunted hoping to spot it, but only managed to jump it again without getting a good look at it. From the large body and tracks I assumed it was a buck, but I never saw antlers.
It headed through the timber and into a nasty patch of reprod and vine maple that I could not penetrate. It was mid October, dry and noisy and I was out of options.
I decided to see if I could trick him into leaving the thick patch by throwing rocks (red). I threw a large rock a short distance then threw a medium rock a little farther and finally a smaller rock as far as I could. My hope was to make the deer think that I was still pursuing it. I never did hear the deer again.
I backed out and headed down hill to the cut where I could see for a about 150 yards and waited.
About thirty minutes later the buck came out of the thicket at the edge of the timber and was making his way down hill when I dropped him. He was a short, stocky 4x4 plus eyeguards that field dressed at 200lbs.
