I've seen some really cheap ones on eBay recently that claim to be 700 MHz tuned (so about 770 MHz give or take a few I suppose) but honestly I wouldn't even bother as the RS 800 works just fine for my purposes. That's not to say that an antenna designed
specifically for 770 MHz center cut operation doesn't exist, but if one does I've never found it anywhere in my searches for one.
The reason that such an antenna doesn't exist is pretty straightforward: the whole idea behind the more recent move towards the 700 MHz spectrum is two-fold - the first aspect being that the frequency band happens to be available, and the second is more towards interoperability between agencies that might choose to use different frequency bands/hardware but still be able to communicate with each other.
That second aspect would more than likely be the main reason you won't find an antenna specifically designed/tuned for 770 MHz operation. Why? Because interoperability would require such hardware to be operable on both the 700 MHz band and also the 800 MHz band and because of that dual operations nature you'll only find antennas that are cut at about 820 MHz as I mentioned above. The 700 MHz band is roughly 769 to 775 MHz (and also 799 to 805 MHz) and since the well known and well established 800 MHz band (851-869 MHz originally but in years past because of rebanding that was reduced to 851-861 MHz) to have an antenna that works equally well or about as equal as it can be across those two ranges means it'll be cut for the frequency smack int he middle of the lowest and highest so 768 and 869. Manufacturers more than likely didn't alter the upper frequency limit in the math so the antennas are still looking at being cut to a center frequency of about 820 MHz or very close to it so they cover both bands very well.
The RS 800 is so old that it was cut for about 860 MHz - it was first produced way back when that 851-869 MHz spread was fully utilized in many public safety agencies but the rebanding changed that and again they wouldn't scrap the design of that antenna and recut/retool it just to accommodate a minor difference in the receive range - as you noted the SWR aspect isn't relevant due to it not being designed for transmitting but I'm sure some folks have tested that in the past.
If you need a really good 772 MHz centered antenna I'd say make one yourself: a simple 1/4 wave ground plane antenna like this would work wonders compared to most any rubber duckie you'll ever find:
Now, obviously that's not a BNC connector there but you could use a piece of coax to go between the scanner and the antenna obviously. I'm a big fan of making homebrew antennas like that and it's coat hanger sections (or #12-14-16 gauge electrical wire) cut to the 1/4 wavelength (the ground elements are slightly longer which is what I recommend) attached to an SO-239 chassis mount with spade lugs and screws and nuts - the ones I make aren't even soldered, there's just no reason to do that in my opinion as that would gain such a minuscule amount of signal it's not worth my time to do it and I like mine being "adjustable" in the sense that I can disassemble them quite easily if needed.
Anyway, I don't know if you have a handheld or a base/mobile model but I'm going to presume that it's a handheld and you'll want to stay portable for whatever reason so these ground planes are impractical for that purpose. If however you want something that you can use at home or wherever you might happen to be in a more static/stationary sense, building one of these cut to 772 MHz (so the main vertical element would be just shy of 3.65 inches tall and the ground elements make 'em 4 inches exactly) would absolutely provide a big difference in reception over any duckie you might happen to find.
If you absolutely have to stick with a duckie-style antenna and be mobile, the RS 800 or the Remtronix clone (BNC models) are still the recommendation if you wish to not use an adapter to get that Motorola antenna working. That Motorola would technically offer better reception for 700 MHz reception because of the lower center frequency it's cut for.
Hope this helps...