I'm guessing that I could pick up a spacer from my LBS?
Yup, a good LBS should stock 1" (internal diameter) spacers. If not any 1" (not 1 1/8th") spacer off the internet should do.
I'm guessing that I could pick up a spacer from my LBS?
Sorry to come in at a late stage, but is that a fixed wheel or a single speed? If it is fixed I would recommend getting at least a couple of tugs for the rear wheel if not converting it to track nuts too. I used to run fixed wheel on these sorts of frames and found I would often pull the wheel out of alignment when setting off without both these measures.
On a freewheel it shouldn't be any bother, good luck with completing your build and enjoy.
The rear wheel has a freewheel on it and I bought a single speed conversion kit (a few spacers and a cog) to run single speed.
As mentioned above, HovR said there wouldn't be a problem if I replaced my standard quick release with an internal cam skewer.
I've never had any luck with QR on horizontal or track dropouts and use track nuts to hold the wheel in place. You may get lucky and the QR holds, but be prepared to swap out the QR skewer.
What would I replace the QR skewer with?
I guess I over simplified replacing the QR skewer, because if the QR doesn't work for you, you're going have to replace the hollow qr axle with a solid one. Which can be done for less than a tenner if you can find a solid axle that's compatible with your rear hub.
I've had to do this as QR didn't work for me, but you get lucky.
I didn't have any problem on my singlespeed bike, even when standing for climbs when I weighed 16 st 6 lbs (230 lbs).I've never had any luck with QR on horizontal or track dropouts and use track nuts to hold the wheel in place. You may get lucky and the QR holds, but be prepared to swap out the QR skewer.