No multimeter, but could probably borrow one. You'll have to forgive my lack of knowledge of electronic stuff. I'll have another go with the CIA chips.
Just so I get it straight in my head, you think that it is one of the CIA chips that has stopped the drive from loading and stopped a signal going through the modulator?
Maybe I was a little misleading with my description of the mono picture, it is there, just not great, needs a bit of tuning. No flicker or anything like that. Sorry, shouldn't have said not stable.
I will have to look up PSU as I don't know what that is. I wouldn't know where I would have to test to find out the voltages. Shall I see if I can get a multimeter, and get back to you? I'm not sure what the hybrid is, sorry, I assumed you meant the RGB to SCART cable. I don't have one yet. But then, if the RGB output is buggered, no point getting one until I fix it?
Yes, the CIAs can cause all sorts of weird behavior as they connect to various other chips. I've seen for example CIA's cause the green screen error typically associated with bad RAM when it was the CIA, i've also seen CIA's interfere with floppy loading although you would expect it to be more likely to be the Gary chip or the floppy drive itself.
Swapping the CIA's is a nice easy check just to rule it out as they are identical chips and swapping them should result in no change in behaviour. If you get a significant change after swapping them around you know one of them needs replacement.
The other guys have given you some good advice there on checking the voltages - just borrow or buy a cheap multimeter, you will probably get one on ebay for £5 to £10 and the benefit is you can use it to check fuses around the house when things fail, or check voltages on batteries, test bulbs etc etc - everyone should learn to use one for those basic uses.
The hybrid as mentioned by one of the other chaps is the black ceramic package that is connected to the board at a slanted angle, just behind Denise and before the RGB socket. They seldom fail but they have rarely been known to fail, normally caused when connecting the modulator or monitor connection whilst the Amiga is powered up - but it is very rare tbh - i've accidentally wiggled the modulator around many many times and never damaged one. CIA's go for the same reason, disconnecting and connecting things whilst its on. I watched a great video recently by one of the head engineers from Commodore and he explained why that occurs - something to do with differing ground levels.
Start with the simple stuff, checking things are firmly in sockets, remove RAM expansion, check PSU voltages, try it without keyboard connected - does it boot and not crash then etc. Hopefully its something simple like the power supply, you could at least then get one off EBAY or something for £5 to £10 probably.
EDIT: When you want to check the voltages on that power connector, be careful not to short the pins on each other with the probes or you could damage the power supply.