Cichlid breeder
Well I can tell you what I would do. Sell the lab in the 10g as you have mentioned or if she is healed move her to your display tank, then clean the 10 g and quick cycle it, to ensure there is no lingering sickness in the water. Move your holding female to your 10g tank and since ur not 100% on what day she began holding just assume the day u noticed her was day 1, count 18 days from that (normally I wait until about 21 days, but since your unsure of the day, 18 days wouldnt be a bad idea.) and strip the babies from her. I know you said you wasnt really wanting to strip her but its kind of a choice thing; choice 1: dont strip her and theres a good chance she eats the fry, or choice 2: strip her at 18 days and get some if not all free swimmers and have a much greater survival chance for the fry.
Helpful Hints:
You said theres no egg tumblers or anything in your area, they are super easy to DIY project, and if you do use the method I have outlined for you, your gonna need a sponge filter in your 10 gallon tank, else your fry will be sucked right into your filter system(also a very easy DIY project) OR just cut a piece of sponge to fit over the end of your current filter intake on that tank. I will give you some video names to search on youtube since im not 100% sure on the link rules on this forum.
On youtube search:
(DIY sponge filter)- "How to Make a Air Powered Sponge Filter" will be the first non promoted video.
(Quick cycle your tank)- "Easy way to cycle your tank!" or "Cycle a fish tank in 3 minutes"
(DIY Egg Tumbler)- "Quick, Cheap, and Easy DIY Egg Tumbler" first non promoted video.
I have no intentions of under minding you with my tips here, I just dont know how experienced you are or are not, and I want the best of success for you and your fry.
Long Live Cichlids!!