I'm literally going through this process right now. I have two units that are both heated by separate boilers, both in good condition. Personally, I love hydronic radiant heat. It's quiet, efficient and inexpensive to run. When properly maintained boilers can last 30+ years. The downside obviously, as you mentioned, is that there's no AC. Also, boilers can be very expensive to replace when they do break down.
I want central AC to be a standard feature in all of my rentals so I decided to install ducted central heat/AC in these two apartments. I've already completed one and am in the process of the install in the other. To get around the problem of "two ways to heat the house" I simply shutoff the gas service to the furnace. Tenants use radiant heat only, and they now have central AC for the summer. I'll continue to use the boilers until they break down, at which point I'll simply remove them and switch over to heating via the furnaces.
Seems like a lot of wasted effort but if you are willing to spend the money now to upgrade to a ducted system, you will save yourself the hassle in the future when the inevitable happens and the boiler goes out, while still providing AC