First thing people need to understand: this whole world operates at scale. You don't bother making an ASIC unless you really need one -- you're either making millions/hundreds of millions of them, or the individual application is so high-value that the hassle, complexity, and expense of moving off a general-purpose CPU onto something completely custom is worth it.
Second, 4K is chump change. You need an entire team of people to do anything meaningful with FPGAs/ASICs. Less than that, just buy a $100 CPU that will do more, be immediately available, and have an entire software stack (OS, user-space programs, compilers, etc) for it. And teams that know how to build this stuff well cost MONEY. A lot of it. Not $100K/year. More like $250-300K minimum per person at Silicon Valley rates.
I get that the OP wants to do this as a sort of hobbyist undertaking, just realize, he's cutting against the grain of the entire ecosystem. Everything about this stuff is made for huge companies to do massive projects that will ship at gargantuan scale. Not hobbyists in a garage.
The major part of hardware development is NOT tooling. It is manufacturing the hardware.