Ask Mr. Smarty Plants

First of all, since our focus and expertise are with plants native to North America, we wouldn't recommend planting Photina x fraseri (Red-tip photinea) since it is a hybrid of P. glabra (from Japan) and P. serrulata (from China).  Plus, it is very susceptible to leafspot fungus.

Below are some possibilities for evergreen shrubs for your fence.   I am afraid that none of them could be considered fast growing

Ilex vomitoria (Yaupon) and here is more information.  Growth rate is moderate to moderately fast.

Leucophyllum frutescens (Cenizo) and here is more information.  Growth rate is fairly fast with adequate water.

Mahonia trifoliolata (Agarita) and here is more information.  Growth rate is slow.

Guajacum angustifolium (Texas lignum-vitae) and here is more information.  Growth rate unknown.

Schaefferia cuneifolia (Desert yaupon) and here are more photos and information.  Growth rate is moderate.

Rhus virens (Evergreen sumac) and here are more information and photos.  Growth rate is moderate to moderately fast.

Sophora secundiflora (Texas mountain laurel) and here is more information.  Growth rate is slow.

You might consider using a combination of several of these to make a more interesting looking hedge.

You can search for other possibilities in both Texas-Central Recommended and Texas-South Recommended lists since Bexar County is almost on the border of the two regions. Use the NARROW YOUR SEARCH option to limit the results to size and general appearance.  Once you have used the NARROW YOUR SEARCH option you can also search by "deciduous", "semi-evergreen" or "evergreen."