You want to “cover it all” with “some sort of tsi”. Complex answer.... get a forestry plan if it’s urs. “Pockets” could mean you get more aggressive on a 1/10th acre on a south facing ridge for example. Or hinge cutting that. So- just for Deer - a good start might be picking some pockets on ridges like u said or tops- whatever.What's the average size area's y'all are doing? I am assuming you are doing it in pockets when I ask this question.
Over the long run, u will want to implement a full tsi plan. Might be taking out invasives & thinning a crowded area with junk trees mixed with good ones. IMO- a “crop tree release” while thinning junk & invasives over the whole timber is reasonable answer for most folks. Every timbered area is so unique so get a forester out to discuss proper options & steps on ur land. State forester is free & set that meeting up!