I'd suggest the standard you should use will depend on your audience and the context. If you were posting here on the forum, if it were a thread particular to your local area's roads in the appropriate geographic subforum, using a local convention might be appropriate, but if it were in a more national thread—say, if you were comparing your area's local roads to, I don't know, Florida's—you might want to use something more specific.
The main thing is, like with any other citation format used for any purpose, the information provided should make it clear to the reader what you're referring to. Scott5114 mentions the use of "SR," for example. If you simply used "SR" in a non-state-specific thread without specifying what state you mean, it would be ambiguous because multiple states use that abbreviation. That's why it's very common for people to use state postal abbreviations instead, regardless of what the particular state may use, if doing so will promote clarity. For example: "The speed limit on FL-16 west of I-95 is 60 mph, but the speed limit on VA-20 south of Wilderness is only 55 mph." If I said "SR," it wouldn't be clear what I was comparing. On Wikipedia, this isn't an issue in an article about a specific road because the context will make it clear—the article's title will be, for example, "Virginia State Route 20."
Consider also in the context of giving someone directions whether using this sort of cue might help the person in terms of watching for signs. "Take Route 66 to Route 50 east to Route 236" is less specific than "Take I-66 to US-50 east to VA-236," for example (never mind that in real life you'd be unlikely to refer to 236 in this example because instead you'd say something like "keep straight ahead onto Main Street after passing the Honda dealer on your left"). A fine example of this is in Maryland where a sign east of the Clear Spring exit warns people looking for I-68 west to Cumberland to stay on I-70 because the next exit is for MD-68, a very different road; one reason for this is because so many people give directions like "take 70 west to 68" without specifying.