Hello OTA_newb,
The short answer to your question is no, a small antenna is not a viable option for you. There are two factors for this. First, you have low-VHF (real channels 2-6) and high-VHF(real channels 7-13) to contend with. UHF isn't really a concern as you don't have any with strong enough signals to be reliable. Second, your signals are weak to very weak.
If I were in your situation I would go with with one of the largest all band antennas on the market, the
Antennacraft HD1850. You can find it here:
http://www.antennacraft.net/Antennas...llChannel.html or here
http://www.solidsignal.com/pview.asp...-%28hd-1800%29. Orientate antenna to magnetic heading 289.
How long is your coax run? A preamp in this situation could be appropriate. I've had great success with the
RCA TVPRAMP1R.
http://www.amazon.com/RCA-TVPRAMP1R-.../dp/B003P92D9Y. Make sure when installing put antenna from coax into the "VHF" input. There is also a switch below the coax input under a rubber gasket. Make sure it is in VHF as well.
I would expect at the heading of 289 you should see ABC, NBC and PBS. KTVL CBS may not be received. From data I've been able to find, K04JQ is a translator of KTVL. I would be prepared that your CBS service will be via that analog standard definition translator rather than KTVL's digital primary high definition signal.
The bottom line in this situation is that since you have both bands of VHF that are very weak you need a big aerial that is designed for both VHF bands. A small one like a HBU11 or RCA ANT751 will not yield you the results you are desiring.
Cheers.