Anything that isn't 68k will most probable require some FPGA glue. That means the minimum configuration is FPGA + EEPROM (core boot image). Adding anyting else adds to the BGA soldering hĂȘll.
I say like @psxphill, there already exist TG68, opencore 68k, and FPGA Arcade 68030 softcore hybrid which is essentially a TG68 modded to 68020 modded to 68030.
I think that a CPU core in FPGA is fast enough to saturate the computer bus in Amiga.
So the least amount of hardware mess and using existing software availability is an FPGA + EEPROM with perhaps SRAM for cache.
KISS..
I don't understand the horror of many pins BGAs. have it assembled. no big deal. or get a rework kit to assemble BGAs. (I am gradually building this up myself) But pro Assemblers are probably better.
Indeed, there are a handful of open/free 68k softcores to start with, so that simply is not a problem. Get them on the 040 or 060 bus is a little work, but quite doable.
For those without resources to get harcware designed, consider KiCad or UpVerter. UpVerter sounds good for this sort of thing, but may need to advance a bit more first. Online tools, cloud data, free for open-source projects... KiCad is GPL (and one of the reasons I want WxWidgets for OS4)... Upverter sounds like it's becoming a good platform for collaborative/group design.
I'd put a microSD slot for the FPGA bitstream, so it's relatively easy to update even if something goes bad, rather than a soldered-on eeprom/flash. Maybe a simple microcontroller to get some config manager like FPGA-arcade to choose 68k softcore or Aros Arm-native or etc. I like the idea of using the internal Arm for that, but not sure how easy that is to do. (I've not done reconfigurable work before, and am not sure what mikej's approach is, or what other minimig boards do or not.
I'd use a Zync or Cyclone/Arria5 soc FPGA with Arm inside. Then Aros peeps can play with Arm, 68k peeps can play with softcore and maybe figure out something interesting for Arm to do, and software emu peeps have a fast cpu to interpret or jit 68k on. And I think that these Arm things inside would do better than adding a Geode or other X86/64 Pc to it all. Also consider than the Arms connect to the FPGA fabric, as I understand, via the Arm AXI system bus, so there is a better pathway to 68k socket than through PCI or PCI-express from a PC chipset.