Okay this is helpful. Your best next bet is T32/T32-look-a-like postdoctoral fellowship at a top 10. As far as I understand that's where you'll have the best shot for this kind of arrangement.
Be careful tho, your institutional salary will be much lower than 250k. Let's call it around $100k. The rest wil be generated from various "outside activities", including PP, moonlighting, and whatever else you can cook up (consulting, etc).
If you want somewhere warm then it'll have to be California. Your next step is to call T32 directors at UCSD/UCLA/UCSF/Stanford for informational interviews. Stress that you want to go through a period of "research training" to get a K award/K award-look-a-like and is willing to "do whatever it takes and willing to take a lower salary to make it happen", and then discreetly ask if the researchers funded this way is constrained by non-competes if they want to supplement their income elsewhere and try to come up with a compelling reason as to why you'll "work a small amount clinically outside to supplement your research salary" (i.e. it'd be helpful if you have children/family). You should be relatively smooth when you have these interviews when you are asked to explain your global research vision. And if you aren't, using some executive coaching service can be helpful. Your work should be explained in an understandable way to a well-educated layperson.
T32 is also not the only track--there are VA tracks and public/state tracks that are functionally equivalent to T32s. You'll go through the application process and compete with their internal candidates, and should you get picked for one of those T32 spots you'll then be able to continue pursuing this track. This in general means that your institutional salary after graduating from the residency will be ~100k for at least 8 years and very likely longer.
Your total 1040 income can be ... let's just say... quite a bit higher than that.
Outside of the top 10/20 institutions, these arrangements become rarer, but they do still exist. A couple of reasons: local economy doesn't support a lucrative PP; a local school has no track record to sponsor researchers to get through the K/first R01 phase, and entirely don't know what they are doing. Schools like to have researchers to enhance prestige, and are willing to take you on for a number of years for a lower salary, but it won't be forever. Plenty of academic jobs pay 250k if you are willing to work more clinically (nights/weekends), etc.
Make sure you are ready for this -- PP is not for everyone. Some people don't do well in PP and end up going back to pre-packaged 80/20 jobs. OTOH, you don't know if you'll be good at PP until you try.
