the mainboard is supposed to be an BCM MX945GME-LC Notice the LC ending, it's because of the pc104 interface, Custom board made for LeCroy .... seen that on some threads
The best bet would be to find a BCM MX945GME no lecroy variant and use an pci to pc104 converter
like this ??
https://www.winsystems.com/product/pci-ppm/https://connecttech.com/product/pci-to-pc104-plus-adapter/Ans if the coin cell batterie dies on some scope, the modo settings are lost and when the board boot youll get many errors, if you mobo still boot
And i think you are going too fast to check this and that, the psu is always the prime suspect, check if you can find the psu pinouts, and normally you are supposed to get an always present voltage, IE: a 5v standby or some rare instance an 12v
The best would be to get an Intel 945 motherboard and try on it your cpu and ramThis is a BCM EOL warning in 2011
https://www.bcmcom.com/e-ad/eletter_07282011_MX945GME_Last_Time_Buy_notice.htm but i think it is the normal version
your bet will be to find a board who goes there, with an pc104 adapter and restart everything, if you dont have hidden problems elsewhere,
find the drivers etc ....
For a start you should clone the drive before any attempt
If you search BCM MX945 on fleabay, you have some results of normal motherboards, it could be a start and try to build something ou of them
The best and only one low priced 100$ is this :
https://www.ebay.com/itm/255581180240?If you search MX945 motherboards you have more of them starting at 50$
You are for the long run if the motherboad is dead, and a pci to pc104 adapter must be sold $$