4.8 Ghz is a strong OC .... less than 50% of 4790k's will make it. It's all about what voltage you are going to need to get that 4.8
Up to 1.200v = Very Good Air Cooler (Hyper 212) - $30
Up to 1.250v = Best Air Coolers (Phanteks PH-TC14-PE, Silver Arrow or Noctua DH14) ....... Dual 140mm CLC / AIO Cooler w/ 1500 rpm fans (Corsair H110) - $60 minimum
Up to 1.275v = Extreme Speed Dual Fan CLC / AIO w/ 2700 rpm fans (too noisy for most folks) - $100
Up to 1.287v = Best air coolers (Cryorig R1 / Noctua DH-15) - $90
Up to 1.300v = Swiftech AIOs ( Swifteh H220-X / H240-X) - $140-$150
Up to 1.325v = Custom Loop w/ 15C Delta T (3 x 120mm / 140mm) *
Up to 1.400 = Custom Loop w/ 10C Delta T (5 x 140mm or 6 x 120mm) *
* At this level having the GPU(s) also under water is assumed and cost is big
Also, if you are not running AVX, you can add as much as 0.10 to all those voltages.
The bit about "spending as little as possible without giving up performance" is not really possible.... more performance costs more money. You might, if ya get real lucky in the CPU lottery get to 4.8 Ghz on 1.25v.... that will get ya done with a Phanteks for $60..... most 4790k's are gonna be up at 1.3 volts or better
I'm at 1.38 volts at 4.6