Well, unlimited budget and no specific application is going to create some oddball rifles and no consensus. If you're doing everything, there will be a compromise. Because for targets I'm going to want a long barrel, heavy rifle and large scope. But hunting I'm going to want a short barrel, light rifle and more modest scope. In terms of actions, I'm definitely going to want a CRF action - Kimber, Winchester, MRC, Dakota, commercial Mauser etc.
If I wanted to sit in the middle, here's what I'd build:
Modern Winchester or MRC M70 action
Timney trigger
Cerakote finish
16" Proof Research "sendero light" barrel, Thunderbeast brake-mount
Thunderbeast Ultra-5 suppressor
Manners MCH-EH4 stock, light fill, 2 front studs
Pacific Tool & Gauge bottom metal
Nightforce NSX compact 2.5-10x42 mil, zero stop, illumination
Home made Rhodesian sling attached to 2nd front and rear studs
(optional bipod)
Lots of money there, but about 8 lbs with acceptable good 800-1000y long range target capability, and good field capability which I care about much more.