RP5 Retail System Model 5810 Processor Compatibility/BIOS question

[Log461]

I have received an RP5810 point of service computer for free and have been trying to figure out whether or not a core i5-4690k or i7-4790K (Haswell Refresh/Devils Canyon) would be able to work in this system. Doing some research, the manuals provided some information on processors,but it does not say whether or not the BIOS will support anything past Haswell family of processors, or even if it would support anything other than the processors listed in the manuals (see image below).

While doing some more research, I have also found a few userbenchmark results that have a Haswell Refresh processor such as:
https://www.userbenchmark.com/UserRun/46033280
https://www.userbenchmark.com/UserRun/69244168
https://www.userbenchmark.com/UserRun/69268613
I am unsure whether or not these are modified systems though, but checking the motherboards between all of the benchmarks it appears that the motherboard in these systems are an HP 2175?

While I understand it may not make sense to put a 4690k or a 4790k in this computer (especially since I don't know if it can overclock and I don't even plan on doing so), I am just wondering what is all supported so I know what it is capable of.

I would appreciate any input on this if anyone would have any experience with these!
Cheers,
Log

PS. Is the cooler on this system proprietary, or would I be able to upgrade it to something that would fit an LGA1150 socket? Thanks!

[DGroves]

on systems such as these there's a good chance that hp never added the required bios microcode for processors they have no qualified and list as approved in their quickspecs

https://jp.ext.hp.com/content/dam/jp-ext-hp-com/jp/ja/ec/lib/doc/catalog/pos/rp5810_quickspecs.pdf

the motherboard uses a Intel® Q87 Express which is a cutdown version of the q87 chipset with some features removed on the express variant

the Intel® Core™ i7-4770S Processor is the fastest HP approved cpu although you can use a non "S" suffix 4770 that is a bit faster but consumes more wattage (65 vs 85 watt)

 i7-4770's base clockspeed is 3.4GHz while the i7-4770s is 3.1GHz. Both can turbo boost up to 3.9GHz.