TE20 Overheating

I'm a rank amateur at tractor repair, but can't resist tinkering.

My TE20 recently started overheating (5-10 minutes after starting). I noticed that the lower radiator hose was collapsing around the same time the rad began overflowing, so I bought a replacement hose. The problem didn't go away, and in fact, the lower hose still collapses, if anything, sooner than the old one.

I replaced the upper hose, and left out the thermostat. I assumed that without the thermostat, I should see a steady flow of coolant coming through the upper hose when looking in through the top of the rad. Is that correct? Because I don't see any flow.

Does this suggest I have a waterpump problem? Or could it be a blockage somewhere? If I take out the pump, will I be able to tell from inspection if it's had it? Or should I go ahead and replace it?

Any suggestions would be appreciated.

Thanks

What Gerard & John suggest, that I'm getting suction from the waterpump, and that the radiator may well be the problem, makes sense to me.

If the problem is the rad, and it requires "professional" attention, is it worth getting rodded out? I've heard that radiator cores are sometimes damaged while getting cleaned. Looks like I can probably get a replacement for less than $200. I'm wondering if I would be better off putting money into a new one, rather than trying to salvage the old one.

Cheers
Matty

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~C.C.~