I can't say I remember if I've ever seen another 752 owner document attempting to boot without a battery but Alvez says it should work. So that to me indicates a mainboard problem. Looking at pictures of the internals it appears the actual power socket may not be soldered to the mainboard but attached to the chassis and has a plug to the mainboard? If so there is a slim chance something is actually wrong with that bit of hardware.
If it was me and I was attached to the 752 I would probably look for a whole machine on Ebay with some other defect like a broken screen. That would allow you to assemble one working machine and have some parts left over. Buying just the motherboard might be almost as expensive because often the sellers who offer individual components are actually businesses that have to charge higher prices to cover operating expenses. Buying a broken machine from an individual who doesn't have the time or skills to part it out could save you money.
Anyway, wish I had better advice but at this point you've already replaced the easy and less expensive stuff. You just have to decide whether it's a better use of your money to stay with what you have or spend more to update to something newer.
A bus station is where a bus stops. A train station is where a train stops. On my desk, I have a work station…