My assumption would be you could volunteer for some TDYs, but that is an assumption, and we all know what the word ASSUME means!
The thing is if the Reserves are like ADAF, those things (Japan, Germany, UK, AK, etc., would be considered good deals, thus, many will volunteer for those TDYs. Not many are going to volunteer for the Sandbox or a remote to Korea.
The thing to be careful about when it comes to going Reserve is nobody can predict the future. Nobody saw 9/11 occurring even the day before on Sept. 10th. However, within weeks/months many Reservists were deployed for months at a time.
~ I had a friend that was a Reservist when we were stationed in the UK. She did her 4 yrs ADAF, and decide to go this path thinking it was the best of both worlds. She would do a weekend a month, and 2 weeks a yr right down the road at another AFB, making a few bucks, but at the same time she could now be a stay at home Mom too. The day Kuwait was invaded she turned to me and said I made a deal with the devil. Her DH was an ADAF pilot. He obviously was deployed immediately to Turkey. Within days of his deployment she was told to expect deployment orders for her to drop within a few short weeks to go to Germany. She had to buy airline tickets from the UK to NJ immediately to bring her children to her folks to care for during that deployment. This was on top of shutting down her house in the UK for the unforeseeable future. If my memory serves me correctly from the day of the invasion to when she reported to Germany it was about 3 weeks. She was in Germany for 6 months. Her kids were 2 and 4.
~~ Just like 9/11 we all went to bed on 8/1/90 and the world was fine. We woke up the next a.m. to see on the news the world had changed.
Just saying, I get your desires, but even in the Reserves, mission comes 1st over family obligations. If that unit is tasked with an operational deployment, than you need to realize they can send you since you signed a contract.
OBTW, my friend is not the only one I have seen this happen to regarding deployments. My boss's DS went Reserves (Navy) after completing his commitment as a JAG. He entered Reserves in 2002. 2004 rolled around (we still were in the thick of it for OIF aka Gulf II) and his number was tagged. He spent 6-9 months in the sandbox. He had to basically go on a sabbatical at his law firm, and financially lost money, because in the Navy he was an O4, and that pay was much less than his salary at the law firm. He was married, and had 3 young kids (all under the age of 8). However, when he returned the marriage disintegrated and they divorced within a yr. Why? Because, impo it was in part due to the fact that during those months he was deployed, she had to be a single Mom, juggling work and the kids. They grew too far about as a couple and could not find their way back. I bring this up, bc I don't know what your family issues are, but just like my friend said back in 1990 regarding making a deal with the Devil and the price she was now paying. He felt the exact same way 15 yrs. later.