Hello, similar experience here. We're "blessed" with a whopping 3-6 inches of what generously could be called "clay heavy topsoil" before you hit solid red clay.
What worked for me, and might work for you, is cheerfully called ba***rd trenching. With a bit of a twist from yours truly for both fast and long-term results, incorporating slightly raised beds.
You mark out your bed and dig up a single spade cube of soil, so about 1' in every direction, set that aside. At the bottom you break up the subsoil with a garden fork, claw, whatever. And then you DUMP in compost, manure and LOT AND LOTS of wood chips. Then you take your next spit of soil and you put it upside down in that first empty spot - putting any topsoil, weeds and roots right down into the hole with all the goodies.
Keep going across the whole bed space until you've dropped your original cube of dirt in the last slot, then build a raised bed on that. Then we start the low-till lasagna garden on top. A layer of newspaper, a layer of compost, a layer of leaf litter, a layer of compost, a layer of topsoil, etc, as high as your materials will allow. Top it off with a wood chip mulch or a cover crop.
Build on this every year only tilling once at the beginning of the season to prep the beds for spring planting and mix in new compost. Rake off the majority of the wood chips, lay down your compost, till any weeds under and break up the soil about 4-6" deep, then lay the wood chips back on top. (Or just till in your cover crop if you have one and plant a new one.)
What this does is it puts a LOT of slow-release nutrients in the deep subsoil. You really wanna load the wood chips in there too. You can go lighter on the compost/manure, but add a little (it can even be a bit green) to really kickstart the process. Throwing any weeds/grass/etc and the topsoil down there really kickstarts it too.
Then it leaves crummy but mineral rich subsoil on top, usually a few inches out of the ground, but you can't plant in that so you build your "raised bed" right on top with good compost, leaf humus, topsoil, etc. This kickstarts the bed for immediate planting.
Over time (a few years) the deep nutrient layer and the topsoil layers are mixed by bugs, plant roots and more going back and forth between the two. The result is a THICK layer of topsoil in which plants thrive. It's almost a mini hugel bed in a way if you put enough wood chips in the bottom. The soil will drain a little better but retain water, it will be low maintenance, and all sorts of food plants do great in it.
The downside to this - this is a LOT of manual labor. But in my experience it's worth it, and when you want to plant fast it will get you a crop the first year and they will just get better every subsequent year thereafter. Just make sure you have a source of compost and wood chip mulch or cover crop to replace the nutrients you take out each year.