Engine cooling problem

Hi.
Last month my car overheated while driving so when I got home opened the hood and after a quick inspection it was obvious that my water pump needs a replacement. Said obvious because it squeaks and you could see the serpentine belt was moving to the sides a lot.
I am not a mechanic but have some basic knowledge and always try to be a DIY person so I replace it and at the same time flushed the circuit.
Okay, to make things a little short, right now, after two pumps, two thermostats, one rad cap, two flushes and bleeds, a full check at the temp sensor, relays etc, the car keeps overheating and now the radiator hoses, both in and out, becomes harder and harder as the car runs. Only way to keep temperature at bay is to have A/C on but still the radiator hoses get so hard that are impossible to squeeze. What could be next? I am running out of ideas.
Also, checked the coolant to see if it bubbles while the car is on and in between also an oil change. Oil is free of water and no bubbles on radiator with the car running (thinking about a head gasket). Do not now what else can be causing this issue. Know it is an old car with plenty of miles but is still in perfect condition, or at least it was until know, lol.
Thanks in advance.