In the South, will I be better understood if I speak with a twang or ebonics instead of non-regional English?

Answer 1

Here's a really great video on regional/ethnic accents in the US. The answer is 'depends on whom you're speaking to'. - https://www.youtube.com/watch?v=H1KP4ztKK0A

Answer 2

It all depends on how you wish to be perceived.  Southern American English is not based on a "twang" which is for mostly in Appalachia and certain parts of Texas. Non Southerns who attempt to speak with a twang as usually considered to be trying to mock  a Southern accent and the use of Ebonics is considered uneducated and seldom outside the black community. Speak as you normally do, we really will be able to understand you. And if you have an English or Australian accent you will be very popular.

Answer 3

Claim asylum and the Court will welcome you or be called racist

Answer 4

Southern people understand the English  language quite well and do not require others to adopt a twang or unnatural way of speaking in order to be understood. Best to speak English in whatever way you have done so all your life as your native dialect us most comfortable for you and will easily flow in conversation and not fierce you to “think” about how you need to sound and therefore a potential inhibitor of confidence and easy between speakers.