If you honestly think you are going to fold in coming months, why not hire a sales/marketing person? Hopefully, he/she will be able to turn your business around/get new clients/etc.
Agreed, why not try to get better at marketing and sales yourselves? If, given with good sales and marketing, you are not able to be profitable in the changing market then BigCo is probably not interested in a buy-out.
yes, that's the idea. getting better at marketing. See my above comment.
About BigCo, I agree with you but I was thinking more about an industrial/tech fit something along the lines "this tech adapted to my needs would help me be a lot more competitive. Buying the company might be simpler than paying a lot of customization.". Not sure about the validity of that.
Sales people and marketing people are usually completely different animals - I've never met anyone who wasn't a company founder who was successful at both.