Ummm Not all SS rod is created equal by ANY means. Sorry but the Lincoln rods could not hang if you expect a nice lo-hy looking cap. I have been bit in the behind by "so- called" all position rods. I HIGHLY recommend Mckay stuff (hobart). Don't be fooled by the -16 designation being all position..that is a lie! Go with a dc lime 308 and you will be happy with the results.....in other words E308L-15. Esab has some good SS rods too but I have not run enough of em to brag on em.
http://www.hobartbrothers.com/product-details.html?name=308L+DC+LimeI am pretty sold on the Mckay line...they have a rod for every situation and the stuff is worth the price definitely.
That is really thin pipe, I am not sure how small a SMAW rod you can get that in. 3/32 on Sch 10 might be pushing it... but maybe your a way better welder then I am. Sure you don't want to tig it? You could nail it in one pass with a 1/8 filler.