AI has a BOM-LAX J fare for 2805US$+tax with no restrictions:
BOM-LAX FRI-21DEC07 AI TAXES/FEES NOT INCLUDED
ADULT FARES
CX FARE FARE C AP MIN/ SEASONS...... MR GI DT
USD BASIS MAX
47 AI 2805.00R J22 J R AT
SPECIFIED ROUTE: 0051
BOM-FRA-LAX
BOM-LAX
BOM-DEL-FRA-LAX
BOM-DEL-LAX
Considering AI flies BOM/DEL-LAX with one short halt on the same aircraft and with language/food that is familiar to her, this would be your first choice. Fares to DFW are aprox 6000US$ plus tax.
Just looking at the dates in Orbitz I get this priced out on AI 137 for a total of 3600 incl tax.