Since we cannot see your actual situation, our advice is based on the limited information you've provided.
Actually, I don't think a 2nd antenna is needed, but a different one probably is. However, given the information you have provided, it may prove to be "Mission Unlikely" despite all best efforts.
My recommendation is for a DB4e with the reflectors removed (drill out rivets)and with the "old style" VHF retrofit kit originally intended for the C2 attached to the back side of the mast clamp. You would have to call the office to order that last item, it isn't on the website. I've attached a tip sheet that I did up several years ago on how to add the VHF element to a number of our then-current models. The DB4e is covered on the 2nd page.
That's my best suggestion.
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