Okay throwing and option out there... that might not be possible... You would have to check with your OB/pharmacy...
Could you try something like Nexium/antiacid (one that's suitable in pregnancy) to dull some of that bile from burning and this could help with the nausea and vomiting and might actually help you be able to eat something... Drinking a lot of water also dilutes the bile (acids)... or sucking on a cough lolly/antiacid...

(I'm so tired, so no idea if that actually makes sense, hope it does)