We stayed at this one 4 or 5 years ago:
The Verandas Guest House
108 E League St
Burnet, Texas 78611
In town, quiet. Owned/operated by a retired school teacher. Rooms were nice and large, very old fashioned. Very farm house feeling. I had been dating my wife a few months at the time and it suited her enough to put her in a romantic mood. Breakfast was good. Burnet was quaint. There was a farmers market going on at the time on the square and I happened to know some people there at the time.
I don't know of a place to shoot. My sister was getting married at Lake Buchanan that wasn't very far away. She stayed at some really nice cabins on Lake Buchanan, but they were more modern. There was a restaurant there too, don't remember the name of the place. They rented kayaks and went fishing.
We found Longhorn Caverns not too far away and went on a cave tour. Kind of neat, not spelunking, but like a 2 mile walk under ground. We also hit a winery, did a tasting, - not my thing, but if you like wine.... We kind of just drove around and enjoyed Texas. We stopped in Bertram, bought some stuff from a guy on the side of the road and ended up in Austin seeing some different stuff.