Besides... the time spent 'directly overhead' is far less than most people think. If you were to watch a LEO satellite go over, it would be more like the proverbial train passing by with the horn blowing. It comes at you, does seem to be moving all that much relative to you, then woosh it flies overhead and slows down again on the other side. AND the doppler of the tuning will change rapidly during the 'overhead' just like the horn/whistle of a train drops a lot in frequency as it passes by.
I'd say you'd be much better off with a squalo/loop or some other omni antenna up higher than you would a ground plane on the ground. Mind you ALL of these are compromise antenna compared to a pointed yagi. When I first got started at home, I built a couple WA5VJB Cheap yagis, aimed them around 20 degrees and mounted them on a TV rotator. Worked quite well for what it was. I lost the birds when they flew directly overhead, BUT that is not on all passes and goes fairly quickly. Usually by the time I got my rotator turned around the other direction it was beginning to descend in the sky. What would have really made it better was a proper uhf preamp as coax loss is not your friend on the weaker V/U sats.
But keep thinking... that's the fun of ham radio. Now the question is do you want to learn things doing your own experiments, or gather knowledge from other peoples mistakes/failures. The latter is cheaper...

If you want some antenna plans go here:
https://www.amsat.org/station-and-operating-hints/Go about two-thirds way down the page and start with WA5VJB's antenna for the handheld satellite version. The you'll see CJU, IOio, Lindenblads, etc.
For WA5VJB full yagi info go here:
https://www.wa5vjb.com/yagi-pdf/cheapyagi.pdf Myself, I made a 7 element cheap yagi 435 AMSAT and the two meter part of the IOio (aka a 2m CJU)
73, Kevin N4UFO