from talking to rheumatologists, they wouldn't change medications initially if a person is stable without adverse effects. but they do decide if Dx seems accurate. that seems to be the place where some people with AS have trouble, b/c if they are doing well now, the doc may think they don't have AS and doesn't know how bad they were before effective treatments. also once on TNF, the MRI will not be clear for diagnosis (listen to Dr. John Reveill's spondycast on that).
Inflectra is available nationally, so shouldn't have availability issues.
This AS referral directory is from people living with AS that like their docs &/or they are leading experts in axSpA. https://spondylitis.org/resources-support/educational-materials-resources/find-a-rheumatologist/
Personally, not in the area, but I met Dr. Joshua Stolow in 2018 at a medical conference and he seemed experienced and nice from conversation.
finally, support group leaders are excellent resource for all local healthcare providers and things people with spondylitis like (swimming pools, supplements, etc). there are two active groups in Texas, I don't know which is closest to you. sorry about my lack of geography skills. support group leaders are listed on this page: https://spondylitis.org/resources-support/support-resources/support-groups/
hope that helps.
best wishes on the move. hope everything goes smoothly.