The only place I have ever seen with two bedrooms is The Grand (or whatever name it has now) but that would set you back 3,500 baht a night - hardly sensible for a year
There are not any condos in Udon and I can think of only 1 place that has a room with a kitchen attached (if you PM Lee he would give you details).
You are really talking about renting a house, I can think of no other way that you can satisfy these requirements.
I would not worry about "yard work" most of the properties for rent are on quite small plots & you can always find a local that is well happy to tidy up the yard for couple of hundred baht.
As to where that is more difficult as it is very much up for personal choice.
Unless you can find a town house to rent (can be done, but can be time consuming to find one) then you are almost certainly going to require personal transport.
This thread is well worth you reading...
2-bed-house-apartment-wanted-t13737.html