Ryan, the AS-1729 with tunable base, MX-6707 can be used as a CB antenna, but the SWR is rather poor and it's impractical to drive with the antenna in any other position than tied down making it even worse.
I use a small standard CB antenna, it can be seen just to the right of the passenger side flood in the image below.
You have the 24 to 12 volt converter as I understand it, so 12 volt is available for you. Do install a "hash" filter in line with the 12 volt supply.
My solution was to assemble a small 3 amp converter with extra filtering plus getting the 24 volt to it from the MX-7777 suppressor for spike protection. See "deuce electronics" image below.
Naturally, the ambient noise in the deuce makes it impossible to use the CB while driving unless special arrangements are made.
I run the speaker output from the back of the CB to the VIC-1 intercom system and can listen to the CB via the headset. It comes in loud and clear. Talking into the mike and be heard is a different story. In my case, only while at standstill. First image below shows the CB installed below the dash, a little out of focus, but still..