There are actually two places they measure and pull records- Mabry (base) or Austin Bergstrom (former base now airport). Mabry is smack in town and can be warmer at times because of that. If you melt above 80 and don't like sun I would really question considering Austin at all and how likely you are to adapt to these things you stated you do not like. The grey of Seattle would likely give me SADD, I am used to lots and lots of sunshine and heat. That pretty much sums up 9-10 months of life in Texas. It was 85 and granted after being 45 last week it felt hot but 85 is actually pretty mild.

http://www.srh.noaa.gov/ewx/html/cli/ausnorm.htm for the chart without the weird * it put in when I copied it.

Mabry
Month* High* Low* Rec High Rec Low* Avg Rainfall*
*Driest* Wettest
January* 60.3* 40.0* 90* -2* 1.89* 0* 9.21*
February* 65.1* 44.0* 99* -1* 1.99* 0* 9.41
March* 72.5* 50.9* 98* 18* 2.14* 0* 7.23
April* 78.9* 57.6* 99* 30* 2.51* Trace* 19.82*
May* 84.8* 65.4* 104 40 5.03* Trace* 14.10*
June* 90.9* 71.1* 108* 51 3.81* 0* 14.96*
July* 95.0* 73.4* 109* 57 1.97* 0* 12.8
August* 95.6* 73.3* 110* 58* 2.31* 0* 10.88*
Sept* 90.1* 68.8* 112 41* 2.91* 0* 20.78*
October* 81.4* 59.8* 100 30* 3.97* 0* 12.63
November*70.1* 49.3* 91* 20* 2.68* 0* 10
December*62.3* 41.9* 90* 4* 2.44* 0* 16.14