$25k installed isn't exactly expensive for a quality built engine (as opposed to an OEM replacement). Getting a Coyote built to similar specification, installed, and running with the appropriate wiring and electronics would ultimately cost more, and you'll be at similar power levels with less torque or a more narrow powerband.
To put it in perspective, the last evo engine (inline 4 cylinder) I shipped was about $16,500 for a full bling long block, and I didn't install it. Billet crank, aluminum rods, ported head, custom pistons, etc. Dressed to the same point the livernois 6.6 comes as- valvecovers to oil pan, timing components, water pump/thermostat housing/water pipe, harmonic balancer all installed. Just bolt up the intake and exhaust manifolds (turbo kit in the Evo's case), fuel and ignition system and its ready to go.
You want a real racing engine, expect to spend north of $50k for something like what you'd find in a trophy truck. Or since you mentioned a built coyote, an MMR coyote long block built to what I think is similar spec to a Livernois 6.6, you're looking at ~$20k, and then you have to install it.