From the center of town in Buena Vista at the US285 and CR306 intersection, drive south 8.1 miles south on US285 and turn right onto CR162. If coming from Johnson's Corner, drive south 5.7 miles to CR162. This is also known as "Chalk Creek Drive" and heads up towards the Mt. Princeton Hot Springs and takes you below the spectacular Mt. Princeton Chalk cliffs. Drive west on this road for 12.5 miles to the townsite of Alpine. Directly across from Alpine Reservoir is the turnoff for FR277 that heads up Baldwin Creek. There is very limited parking here. You may be able to find some parking around Alpine, but most everything is private property, so be careful where you park.
It is possible to drive up the Baldwin Creek road if you have 4WD with good clearance. Every time we've been on this road (and that's quite a few), we have found it tediously rocky and slow and with more and more 4WD's, ATV's, etc., it is not likely to improve.