Sad times. Yesterday I took my GT to a well respected Alfa specialist (Peak Alfa) and this is the list of faults I was presented with.
1. Play in D/S upper front wishbone
2. Play in P/S lower front wishbone
3. Rear tyres worn & distorted
4. All wheels have slight buckles
5. Hand brake cables need replacing
6. Exhaust blowing around the turbo
7. Exhaust blowing from tailpipe
8. Major oil leak around rear of engine - possible rear crank oil seal
9. Clutch release bearing noisy
How handy are you with the spanners?
Upper wishbones are easy enough, lower's can be a PITA but doable at home.
Rear tyre wear will likely be down to tracking/alignment, so sling a new set of boots on (Nexen N8000's are cheap and aparently perform very well - or check out the deals on Blackcircles) and get the rear tracking sorted - tyres are service items so you'd be replacing them any way down the line.
Handbrake cables is also an easy DIY job.
Slight buckled wheels - If you're on a budget, leave them be... Ideally repair/replace, but as long as they're sound then it's only your discomfort to worry about.. Otherwise you can pick up the 16-17" alloys from 147/156/GT's fairly cheap... The OE 18's are holding their value nicely, but the 16/17s are significantly cheaper.
Exhaust leaks - could be a cheap and easy fix, best thing is to find the leaks and work from there.
Oil and clutch - these could be the killers... Oil at the rear could be a cheap easy fix though.. o-ring on the dipstick tube, crankcase breather pipes/separator are all back here and fairly accessible... Clutch jobs are a pig no matter where you go... Expect £500 for the clutch, £800-1000 if the DMF is knackered too.
Put it this way, I wouldn't be binning it for that list... If you're paying someone else to fix it then yea it'll be expensive, but a lot on that list is tackle-able by the weekend warrior...