Any experts on these cars around to give me pointers on what to look out for?

Known problems with car after phone conversation:
Odometer is hit-and-miss. Has between 180-200 kms on the car (that's 112-125 miles in Yankee-talk)
E-brake is frozen (typical) and hatch won't stay open (also typical).

Cloth interior, T-tops, runs great, lots of power, no smoke from engine and spent most of it's life in Utah, so it has very little (if any) rust.

Guy is selling for his daughter and is asking $1,700 bucks. Personally, I think that is really low for an '87 Shelby, but if it's as nice as he says it is - that's the steal of a century!

I know to check the rockers and floors on these cars as those are usually the first areas to go. Anything else I should look for?

Thanks in advance! Hopefully, I can post some pics later today after I go look at it.

I think you have most of the basics covered. Check for rust in the front floors, and the spare tire well. Being an '87 Shelby Z, it should be intercooled and have an A555 transmission (round tag on top of transmission will give you this info) as well as a two-piece intake manifold (do a quick google search for 2 piece intake pics..I'm at work or else I'd post a reference for you). How are the t-top seals? They're prone to leaking.

T-top seals leak. Always. As expected, they are no longer available.

One way to cheat is to slide a small rubber vacuum line inside the T-top seal. It will puff up the weatherstrip and help it seal.

That's a pretty slick tip there! Thanks Feets! I'm going to have to try that on my Turbo Z

(Being an '87 Shelby Z, it should be intercooled and have an A555 transmission)

Although this is a true option for 87, not all are intercooled with 5 speeds. This is our 87 Shelby Z that is not intercooled and is an automatic. Its a slug but is still fun to drive. We bought it new in 87 and now my 16 year old daughter drives it when the weather is nice.
Its on a trailer when I took the picture because I was taking it to a friends house for winter storage.

That's almost the twin to this one! It sounded too good to be true over the phone, but it turned out to be quite a little gem. It's not perfect by any stretch, but it's in amazing shape all things considered. I took it for a run - not a sign of blue from the tailpipe the entire time. Built boost nicely, blow-off valve worked; transmission shifted smoothly and clutch & brakes felt good too. It had 4-wheel discs!! Was not expecting that.

On the down side, it has a few minor dents and scrapes but absolutely NO rust. They mentioned their daughter went to University in Utah and that may have been what saved the car. She also NEVER winter drove it and I'd believe that. It has a few electrical issues like the dome light doesn't work and the tach acts "sticky". But after three years of sitting, the old fella just wants it gone. I made what I thought was a reasonable (but low) offer, and he bit. $1200 bucks. We did all the paperwork today but since my buddy bailed on me at the last second, I won't be able to go get the car until next Sunday. But the owner is OK with that. They even wrote me out a receipt from an old-school receipt book!

In all the excitement, I forgot to snap a few pictures.

Lots of resources here...http://wc-tm.com/forums/index.php

Ours has the grey leather interior. If you would do me a favor when you get yours home, look at the fender tag on the radiator support and see if yours has a secondary tag. Mine does and all it says is 'CODE 8' It baffles me and I have not seen another one in person. Our car came from a dealer 50 miles from here and he used to buy the majority of his cars straight from the factory that had low miles. Ours had 8000 miles on it and we were the first titled owners. Sorry that my picture is blurry but it does show my tag.

Man that's making me miss my old '90 Shelby VNT. I sure loved that car.

Dodge-N-Shelby: mine does not have a secondary tag on the radiator support.

Here's a pic of the ol gal now that she's home. Needs a little bit of love, mostly electrical - lots of contacts have corroded from sitting but things are slowly coming back to life. Biggest thing is no dome/map lights yet the cargo light in the back still comes on when the doors or hatch are open.

For the most part, even the paint is in good shape!

Yep, that sure looks familiar. Ours is original paint too, it's even holding up great but I will need to have ours repainted due to some damage to the hood and right door, thanks to a deer in the road some 10 years ago.

Good score rambler man,cool car,even cooler price!