What exactly do you mean by accommodate singles? Most tour groups allow singles, I"m not familiar with ones that don't. but of course you pay more than one half of a couple because you have your own room.
However, here is a group that caters to seniors. It isn't for singles per se, but I bet there will be a many singles on it. https://www.roadscholar.org/find-an-adventure/
They do have single pricing though which isn't double what half a couple pays. For example, on the Galapagos Island tour (I know someone who took that and said it was excellent and they took care of everything with excellent guies), a single room is $13K but a couple would pay $16K.
Now there are some tour groups that will try to get you a roommate, but I don't know if that is your issue or not.
Here is a group tour exactly like you want, for solo seniors.
https://www.intrepidtravel.com/us/solo-travel/over-50s-60s
They don't seem to have any in Europe, curiously, though. Lots in Asia and a few other places
https://www.intrepidtravel.com/us/seniors
OAT is known for more adventure tours and is good for solos, they sometimes have free supplements
https://www.oattravel.com/ways-to-save/leader-in-solo-travel?icid=global:solo-experience
Have you looked into using one of your local high street, brick and mortar travel agencies.
This is a Duplicate Post that I reported when it was made. There are plenty of responses on the first post, plus the OP added a bit more context.
I'm 66 and have been doing Group tours several times a year since I retired 6 years ago.
oftentimes I am the youngest participant on the tour and there has never been less than 50% older than me.
Mix is usually about 50% single and 50% couples
So I would say that any of the companies offering small group tours that get recommended here can accommodate you - as long as you avoid the tours specifically marketed for 30 somethings, of course.
Can you recommend any.particular companies? Thank you!
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43 helpful votes You will need to be more specific Vivien. Companies operating where ? In your own location? (Again - where). Travelling to where?
Vivien: Did you read the other post by the OP? There were some recommendations there. In addition, there is a Senior Travel forum that lists many more comments on group tours (even participating solo). Links below.
https://www.tripadvisor.com/ShowForum-g1-i13626-Senior_Travel.html