David - I just got into portable sawmilling a month ago when my mill finally arrived. I've done a lot of research. I'm a little too far away to come mill your trees, but if you were closer, I would definitely do it. You should be able to find a portable sawyer to do it, but it may take a little searching. I have a Lucas swing blade mill and I only saw at the customer's site. (This is my niche, I hope) In my area, most all the bandsaw guys don't ever want to move their mills. I only know of one sawyer in my area that will and it has to be a big job for him to do it. With the bandsaw mills, most guys have built a nice shed to cover their mill and have all the auxiliary equipment at their fingertips. In Virginia, the other deterrent to moving a bandsaw mill is that you have to get it tagged and have a yearly safety inspection done. If you have a means to load and haul the logs, you'll have a much larger pool of sawyers to choose from.
If you do get someone to come on site to mill, most likely they will expect you to have the logs staged on a level site for them, where they can basically use a can't hook to roll them over to their mill. The two big reasons are: 1) It's tough to tow a bandmill and a skid steer/tractor in the same trip. 2) Insurance - I found out that the insurance people do not want you to log or cut down trees as a sawyer. Every agency that knew anything about sawmilling asked me first thing if I was going to be moving logs or cutting trees. I didn't ask, but I'm sure either one of those would have doubled or tripled my premiums assuming they would even insure me at all for those.
You can definitely dry that lumber at your property even without a shed. You can build a solid platform off the ground, weight or strap the lumber and cover that with a piece of metal roofing. It can also help to get some nursery shade netting to cover any of the stack that is directly exposed to the sun.