I'm 60 in January and I can empathise! I joined a new club 3 years ago that has 2 courses that are both over 7000 yards off the back tees (one has a slope rating of 151!) and soon realised that my 92 mph swing speed was not going to cut it!
I had both my hips replaced a few years ago and think that restricted my speed, so looked into speed training, but it didn't help much. I decided to try and improve my technique instead - my takeaway is now much wider, I get my shoulders and hips open through impact and have managed to average about 100 mph now.
I carry it just over 240 now, so with roll I'm seeing 260-270 in the summer. There is one par 4 over water that is 460 yards and when I first played it I thought there was no way I would ever reach it in 2, but now I can hit drive and 8 iron if I get a good drive away.
If I can do it, I'm sure you can - your handicap is much better than mine!