You can use a few ground clothes/tyvek sheets in whatever arrangement you want to take care of the dirt issue, just leave a place for the stove and woodpile open.
If she is afraid of bugs on her when she is sleeping then get here bivy with a mess face cover like some suggested above.
You mentioned you and your wife, you and two kids and a dog, and you and a son in terms of the size of your shelter. The size of a shelter is based on how many sleeping bags you can fit inside of the footprint, so a four man tent will accomodate four sleeping bags but nothing else; no packs, no stove, no wood pile, no space for the dog or dirty boots. You should plan on at least 1.5 times the space for each person, preferably 2.0 times the space if you like room. A stove and woodpile will take up 1.0 sleeping bags area but use 1.5 for a safety buffer.
For you and your wife and a stove plus some room (which she will like) I would suggest a five person shelter as a minimum. the GoLite Shangri-La 5 or the Kifaru 4-man or 6-man tipis would work. SeekOutside and TiGoat also makes tipi or pyramid shaped shelter that would work. Just make sure you get a stove jack (the opening in the tent wal the stovepipe goes through) when you buy one. A Google search on pyramid shelters or mid shelters will also give you more names from backpacking shelter manufacturers.
If you want to take the whole family then you would need something like a 12-man shelter but that would be expensive and heavy. Getting another five-person shelter would probably work better all around. Especially since you could put the dog in with the kids if you wanted.
larry