Oooh not my understand of what a drop would be. At all.
Just first principles, you are at geosynchronous orbit, you are going x km to maintain that position over the planet. You exert thrust to ‘go down’, unless you counter that orbital velocity you will be retaining it but at lower altitudes you will have less orbit to travel, thus lose that geosync position and making faster orbits the closer to atmosphere you get.
So you will have the orbital vee and downward thrust vee plus more gravity the closer you get to contend with, making for one helluva jerk once the capsule hits atmo and slows down.
No matter what combo you do to come in, the atmospheric friction slowdown is going to exert some serious impact. We’re talking starship grade inertial compensation to avoid spam effects, or at least a powered suit coupled with a grav harness perhaps.
That geosync distance is a long way too, depending on how fast you are incoming, can accelerate coming out of the ship then have to decelerate to survive atmo and/or surface impact.
Knowing what speed your capsule can survive hot entry and decel is going to define your approach.
Easiest way is to have the capsule fire decel to slow down the orbit and drop alt through gravity. Given that every second up there is a recharge cycle on PD lasers, you want minimal hang time.
I’m thinking optimal approach is dropship heads straight at planet about 3Vee, capsules launch at 20000 km, drop ship accels to avoid hitting planet while capsules fire 1/2 turn 6G decel at 10000km. 300 plus seconds to 10000km (maybe less depending on gravity). Then another 400 plus seconds getting down to a comfy 1-2Vee, atmo not such a big hit.
Other combos possible, but any semi realistic reentry is going to have such narrow windows or advanced capabilities to get our hero dirt side in one piece.