To be fair, I don't really think the OP has been flamed here at all.
She is struggling with the dog, and has seen rehoming as the only option. People here are merely sugesting other ways she could try to manage so that she could keep the dog AND not be so stressed by the situation- surely that would be the better outcome?
I know my parents never got over the guilt of rehoming my dog- my dad can't talk about to this day.
I acknowledged that it's not easy having dog(s)/ children and being on your own. I did the hour walk with 3 children under 5 (not saying I deserve any medals for that, btw!) and, as a pp said (sorry, can't recall who), although it is a real hassle it is actually such a good thing for the children to be out and walking every day. I found great friends in fellow dog-walkers, and my children got a meet a huge variety of people and dogs. The time we spent walking through the country park with the dogs allowed us great time for chat, and they are times I will cherish (although it wasn't easy at the time)
I'm really not trying to be mean to the OP, but I felt I had made a comittment to my dogs and needed to honour that. People's circumstances change all the time, but it's not un-doable to fit the needs of the dog in there somewhere. As others have said, rescue centres are stretched to limit right now, thanks to the recession- lots of people are suddenly finding themselves having to move to a smaller house/ work longer hours/ have less money, and the rescues are dealing with a huge amount of the fall-out. I can't see how it is helpful to pretend to the OP that this isn't so, and that her dog will be easily and quickly rehomed with a lovely family.
Yes, the doghouse will tend to have posters who care about dogs- that's not a crime! Noone is hectoring the Op, as far as I can see- just asking her if she has looked at all the possibilities. There are also huge advantages to having a dog around when you are on your own- I've always felt more secure knowing the dogs are there when DH has been away on long jaunts. The walking, although a hassle, is actually quite therapeutic, and a good chance for some together-time with the dc- lovely to see them puddle-suited up and splashing around gleefully. Some of the people I have met while out with the dogs have become life-long friends, and the company can be great when you need a rant. I walked with mums, older women and old men- lots of different viewpoints and sometimes a wealth of advice on all areas of life. And a dog is fantastic company when the dc are in bed, especially if it is an older well-behaved dog.
Of course, the OP is entitled to do what she ses fit- only she really knows her circumstances and the reality, but things might not be as bad as they seem- once her dd is walking and she doesn't have a pram to shove, she may find the walks etc easier. People are trying to help!