GR is great with Kids and fantastic dog overall, but its a medium breed and surely does not fit in the budget I am looking at. This I can say since I did talk with few folks and the minimum for good litter is on avg. 15K.
Same with Beagle, fits into size criteria but out of budget as you said.
Cocker/ Dachshund - Fits the size, I am not sure of budget since some breeders quoted higher prize and some less and not willing to share lineage and I am afraid to go that way. I am just providing my thoughts, feel free to respond if you think thats not what you think.