The typical asking rate per listing is in the $30's per square foot per year. The League City submarket is going through a an increase in rates. In the last 3 months, the median rate increased $10 per sqft per year. That's a 37% increase in rent.
Compared to the rest of the Houston Metro market, the League City submarket has higher rates, and you'll have to negotiate above asking rent to be in this hot region.
In the last 90 days, 4 listings have been posted online, which means new availabilities most likley are leasing quickly. You'll want to be prepared to make an offer immediately. There aren't many listings below 2,000 square feet posted, so finding a space for a small business might be tough.
The standard measurement for office space in this area is around 2,200 sqft. Most buildings in this market are around 2 stories. Most buildings in this market were built in 1991 and are Class A.