When I visited Austin in November for a couple of weeks, I would suggest the following:
James: https://rentmasseur.com/JDHATX
Handsome, fit and friendly guy. Deep tissue/swedish. MT/HE+
Brad: https://www.masseurfinder.com/massage-therapists/27976/
Tall nice guy. Swedish style. MT/HE+
Deon: https://www.masseurfinder.com/massage-therapists/31314/
Great friendly guy. Thorough swedish style. MT/HE+
Glen: http://rubmassageaustin.com/#therapist
Handsome guy. Awesome massage and owns his own massage biz.
This one's YMMV.
PM if you need any more info.