Yeah - I get something at Anne Summers called Booty Relax in a purple pump bottle. It's mildly desensitising but does not contain lidocaine.
I think if you look on Lovehoney and look specifically for desensitising anal lubes, you can then see if it's water-based or not, although you have to scroll down to the bottom of the product description to see if it is or not (there's a sort of yes/no FAQ for each one).
Here is a lube that does contain lidocain (remove the gap in the link and paste into browser to view)
www.amazon .com/Relax-Percent-Lidocaine-Fluid-Ounce/dp/B00BU9SYDU
If you click on and enlarge the photos you can read the full ingredients and none of those appear to be a silicone (which I think would be a word ending in "-one.")
However, I was just reading this product description on Lovehoney: www.lovehoney .co.uk/product.cfm?p=3432 and I see the words "This product contains glycerine so be sure to use with non-latex condoms." While this is not a lube I am now confused as to whether or not the product I linked to above is OK because I do believe I saw glycerine way down at the bottom of the ingredient list.
Please note that what I am about to tell you is not medical advice and you should exercise your own judgement:
What I do when I want to ease vaginal irritation is to use Anebesol liquid. It contains lidocaine. It is sold behind the pharmacy counter for people who have mouth ulcers, teething babies or people who have sore mouths from wearing braces, etc. It's safe enough to put in a baby's mouth so I feel pretty OK about putting it on my fanny. I can tell you that it stings a little for a couple of seconds. Then it does a pretty good job of desensitising the area quickly. It does not utterly numb me. I can still feel things and even have an orgasm. I never felt at risk of actually being injured due to not being able to feel what was going on down there. But I had a very busy week on tour and shagged 6-9 clients a day for five days straight and never got sore. The only caveat is that you will want to apply it maybe 20 minutes or so before a booking and then rinse it off before the booking as it won't taste nice and the client may notice the numbness on his tongue.