I'm in the same sort of situation. My garage plays home to the remains of a 1301cc engine...
I suggest doing what I did with mine - remove the water pump, the thermostat, the distributor, and strip the carburettor of its jets (if it's a Weber; if it's the (superior, IMHO) Solex, don't bother).
Take off the cam cover and extract the valve shims if you have the special tool for this. If you don't, then remove the cambelt and toss it, keep the tensioner (useful 'budget' replacement for someone if in good condition), and unbolt the cam carrier to allow access to the valve shims.
Yes, really - I think we have reached the stage where the value of the shims exceeds the value of the engine! A great waste of fine Aurelio Lampredi engineering, but the fact is that somewhere, someone will want to adjust the valves of their Uno Turbo (etc.) and having spare shims is always useful for this.
The other ancilliaries, provided they are in good condition, would also exceed the value of the engine - when sold separately.
Actually, I sold a FIAT X1/9 cylinder head with valves recently for a modest sum. It was not really enough to cover the postage, but it went to a good home. I advertised it as 'useful as a paperweight - and very useful the day your camshaft breaks and you want to fix your engine cheap'...
You may like to wait for a local comment on value, since that is a low mileage for these engines. It's just that the trouble involved in changing the engine is probably not going to make it very attractive, even to an Uno enthusiast...
-Alex