360 Street/Strip Cam?

Ok then, all it takes is money.
But from what I remember, when you break into the 11s, the cost of the bragging rights goes up exponentially. For instance, right away you gotta cage it.
Is this achievable or should I be focusing on either strip performance or street performance?
Is it doable? Yes
but; 11s on motor is not cheap. To go 11s with street suspension/street gearing, you probably should consider a big block. Maybe consider high 12s; it's waaay cheaper, and on the street is same tire-smoking fun.
IMO:
Forget camming the 8/1 360, with a cam to go 11s, and then drive it on the street; the low-rpm power will be weak, and you will need to cough up additional money for a good hi-stall TC, and probably gears as well.
But if you absolutely have to have a cam; at least make it a solid-lifter cam.
So then, with a Normally-aspirated low-compression 360, I think you will have to chose one or the other, else it will do neither very well.

EDIT
But if you want to do both;
Put some worked alloy heads on it, and bump the compression up to 185psi or more with a fast-rate cam of about 244/[email protected], and you should be there.
Don't forget all the usual upgrades including, but not limited to;
a trans and TC that can take it/driveshaft/rear end/gears/tubs/tires/cage/safety; and
the support works like; ignition/fuel-supply/and cooling system; plus
you still gotta slow the beast down at the big end, and turn it around.
I don't think $20,000 Canadian would cover it, but it will depend on what you start with.
But that combo will NOT like to cruise the hiway without an overdrive, and the engine will suck gas bigtime, and so, the car will probably be parked in your carport for most of the time. How much is an overdrive? meh maybe another $3500 installed.

(IDK what 20k Canadian converts to, guessing maybe 14000USd?)