Getting between the Parque Empresarial Torneo business district of Seville/Sevilla and the airport?

For an upcoming trip to Seville / Sevilla in Spain, I've noticed that you can get some very good rates on the weekend at some nice hotels in the Pino Montano / Parque Empresarial Torneo area of the city. This is a business and industrial area to the north of the city centre, so it seems to make sense that they'd be doing good deals on a weekend when there are fewer/no business travellers about.

My issue is if I did opt for a hotel there, rather than in the city centre, how to get to the airport on the Monday morning. The distance is just under 10km, but the website for the hotel I was looking at suggests it's about €30 for a taxi to/from the airport. For that taxi price, I'd be better off booking something a little more expensive per night in the city, and then taking the airport bus for €4.

The website of the public transport provider for Sevilla, Tussam doesn't have its own trip planner, but instead sends you off to Google. That suggests that the only way to get to the airport from Pino Montano is to take a bus all the way into the city centre, change, then head out to the north west, taking about 90 minutes. Given that I could almost walk it in that time, it seems a fairly inefficient way to go!

Are there an public transport options that bypass the city centre? For example, any buses heading along Ronda Supernote to the airport, or along Ronda Urbana Nte to meet the airport bus at the Avenida de Kansas City Ibis stop? Are there cheaper taxi options than the €30 suggested by the hotel? Or should I just skip the nice hotel out there, and stay in the city centre within easy walk of the airport bus?