Something like this 0.35 oz/~ 10ml twist stick?
https://www.sks-bottle.com/340c/fin8i.html There are some 15ml twist tubes on eBay/Amazon.
Minimus.biz has some similar push up types
https://www.minimus.biz/dawnmist-sti...7501-8100.aspx if you're willing to de-pot and refill with your own product. I've also seen some smaller flat oval tubes for sunscreen and friction sticks.