Multi-purpose anal toy?

Hello! I'm male, looking for advice on a multi-purpose anal toy. Here's what I want:

I masturbate sitting down, and would like to grind on the toy while so it rubs my prostate.

I'd prefer phallic shaped over butt-plug shaped.

I'd like it to be thin, because I don't like being stretched, but any length is okay as long as I can take it all the way in while grinding without discomfort from it poking me way up inside.

I'd like a large flared base so I don't lose it up there, and so I can use it other places like on the floor with it freestanding while I lower myself onto it.

I'd like it smooth, with no ridges, for easy cleaning. I don't care about it looking like a penis with veins and all that.

I'd like it not to be too floppy. I want it firm enough so that when I'm grinding on it I feel my insides pressing against something fairly solid. Also I will sometimes want to use it on myself doggy-style and it has to be firm enough to make it easy while reaching around back there.

I'd like material that isn't broken down by petroleum based lube. I know people love their specialty lubes, but I've never found anything more satisfying than baby oil. And when I found out that baby oil is just mineral oil with perfume, I switched to large containers of mineral oil.

Okay that's all! Haha sorry for being so demanding! There's such a wide selection that my head gets all frazzled. I need some help! Thanks! less

Hahaha, this looks fun, I'll check this up and come back to you with a suggestion or two.

/Shop, shop, shopping...

I'm back and I mostly looked at dildos in pure silicone, since oil can’t mix with rubber, and unless I'm terribly mistaken, it should not have a reaction with pure silicone. Also, I was not sure how thin you wanted it, but I have not looked at anything larger than a 1.25” diameter:

1”
Eaze, Sedeux Please, Small Silk, Sedeux Glam

1.25”
Holt, Mistress, Smooth Operator, Silk Medium

Might give you some ideas, less