Good luck, DT! I see you were the one reporting the last trip report, from 2015.
As for Tulainyo Lake, it looks possible looking at the topo maps. I'd head over the ridge to the west-southwest to that little tarn/pond, and from there the ridge to the west doesn't look too difficult.
I've carried a backpack over Russell/Carillon pass (heading southward), so I know that part works.
I've always wondered if heading up the North Fork Lone Pine creek (the Mountaineers Route), and then heading up Carillon Creek from Lower Boy Scout might be easier than starting from Hogback. You sure start at a higher point! Good luck!