Hi again, Penguin73,
I had forgotten about April 16th. being the Sunday after Easter. Silly me! That's probably why there is only one scheduled train that day. According to the ScotRail website, there are currently only four tickets available at that 15 pound 20 pence rate. I don't know if that means that the train is almost full, or if only more expensive tickets will be available after those four are gone. Perhaps isn31c can help us out in that regard.
Anyway, as isn31c kindly pointed out, it's a bit of a hike from the train station just to the foot of the bridge, and it's 1.5 miles from one end of the bridge to the other. So you're looking at about three miles each way on foot. www.YouTube.com/watch?v=YctW-i4Vt8I
The Stagecoach buses which serve the Isle of Skye may be operating on a reduced schedule on Sunday, so you may want to check those schedules carefully if you are planning to return by bus, or even take the bus across to Kyleakin. However, as there is only one train out and back between Inverness and Kyle that day, that will necessitate having to stay over in Kyle or Kyleakin if you plan to traverse the bridge. There are several nice places to stay in both Kyle and Kyleakin, but as it is a Sunday, you need to confirm reservations as soon as possible if you are spending the night. There is taxi service in Kyle if you need it. Please note that you have only one hour and 22 minutes to spend in Kyle. You could conceivably have a taxi meet you at the station, drive you across the bridge and back, with time for photographs once you arrive in Kyleakin. However, that seems like a bit of a rush.
If your group is familiar with the work of Scottish author Gavin Maxwell (Ring of Bright Water), the island of Eilean Ban could be of interest. It is below the mainland end of the Skye Bridge. Maxwell spent the last year of his life there, and there is small museum operated by the Eilean Ban Trust. Check their website for hours and access.
The best views of the Skye Bridge are from the car park just east of the Kyleakin end of the bridge, but from personal experience, especially from the top of the war memorial just a bit east of the car park.
If you're staying over in Kyle, there is a well stocked Co-op supermarket near the train station. They are open until 10 p.m. on Sunday.
Once again, very best wishes. You will truly enjoy the train ride!
Mike (Auchterless)