I am a BIG fan of buying "Salvage" title bikes. I've bought a couple over the years and they were great deals. So I get your temptation.
But at $7300 ... that is NO DEAL. The fact you may be looking at a bent frame both front and rear, right away means NO GO for me, but YMMV.
Also, those electronic bits are crucial and as you know, bike will not run without them as they talk to ECM. Lots of specific knowledge required to "fix" things so bike will run without them. New Dash/instruments are OUTRAGEOUS $$$$$. Check it out.
Also consider that used Straight Tiger 800's are around in the $8000 to $9000 price range all day. If you are willing to travel, I'm guessing you could find a deal if you're patient and NOT in a hurry and find a Cherry, Clean Tiger 800.
http://sfbay.craigslist.org/sfc/mcy/4853201161.html
This one is LOW MILES, but I'd bet a higher mileage one could be found in the $8000 area.
If your bike had a low side it would be worth gambling on. I've seen MUCH better salvage deals than the one you're looking at. Too much possibly deal breaking damage lurking there, IMHO.
If you're dealing with an insurance company, just make a very low offer. But if me ... I would avoid that bike ... even if free. Too many unknowns. But offer $5000, I'd bet they'll take it. At $7300, no one in their right mind would buy it given current used bike market for those Tigers.
I would get onto the Tiger 800 specific forums research and get opinions from "educated" Tiger guys. One last thing I would do if you really feel "good" about this bike. Go into a Triumph dealer and have them give a real estimate of damage and repairs. Figure cost, then make an educated offer. If frame is straight or just sub frame is bent, then not so bad. It could work out to be a good deal.
Good luck!