Agree with Jerod. If the OE charging system is being used, it will take some driving to fully recharge the battery.
Remember, in the earlier times before maintenance free batteries and internally reg'd alternators, mech VR 's and charging systems were custom tailored for the weekly use of the vehicle.
If the battery was dead, then the VR needed adjusted in cranking up the charging voltage.
If the battery was needing water, it was being cooked, too much charging voltage.
Operating temp, min driving of 15 miles, no accessories on, min voltage across posts should be 13.8 volts. If the Camaro is running the OE mech voltage regulator, replace it with a Wells VR715 electronic reg'r and transfer the cover to look like OE and this wil help.
Also, on the starter, if the solenoid pulls in, but no crank, either:
1. battery too low in charge, or too small, see above.
2. battery cables too small of wire gauge, min 1 GA with molded clamps, and return cable on the block,
3. solenoid may need replacing, or at a min, turn the two copper bolts 180° and turn the disc 90° as this effort will expose 'new' contact area for current to pass.
Since the Camaro is a '67, don't forget the yellow wire from solenoid R post to coil + post as this wire gives starting ign voltage as ign key does not have ign start voltage.