You may need to accept that getting her to visit the US is not going to happen. Meet in 3rd country that is easier for your parents to get to …
Long term.. If having access for you both back into the US is important to you.. and this relationship is one you see lasting into the future .. then marry. Live in Thailand while you apply for her spouse visa , move to the US, live there until she is eligible to become a US citizen, complete Naturalisation .. then you can leave, return, live where you what to . Yes I did say long term solution .. 2 years to get GC, and as long as you enter after your second yr anniversary, then plan on 4 yrs in the US to get through naturalization.