It is too difficult to find a high school science program that is
secular
well-written
rigourous
affordable
Heck, I’m even willing to bend on the affordable part.
(You can guess what rabbit hole I’ve fallen down this past week.)
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Handmade Homeschool 
I totally agree. Oy. Let me know if you find one.
Are you familiar with the Ted lectures? They have some great science talks.
Singapore wasn’t fabulous, what about the Great Courses? (google it) Their stuff goes on SUPER sale–Harmony Art Mom blog reviews several of them We used the DIVE cd and a public school textbook for physical science and was planning same for biology. I had to match up the readings which sometimes were in parts of 2 chapters in our book. They ARE very rigorous. My son was pretty angry and anti- everything then and didn’t mention much religion, so I’m not sure it’s a bid deal in them. I’ve still got the whole Singapore physical science package if you want it. Not sure if you’d have to pay duty on it.
Open Courseware at various universities aren’t always high-end stuff. There are 100 level classes too. TED does have some good stuff. Also, here you can take community college courses for credit or study and get credit with CLEP tests–just about any normal textbook will do.
This lady might know of some resources. http://taytayhser.blogspot.ca/
I wish I had the answers!
The secular science programs out there are…nil.
I use textbooks and always have. But science is all around us! Get very eclectic about science. Use the computer (of course), visit university science departments (this is best done if you can get an “in” with someone in the department), go to the astronomy nights hosted by your local astronomy club, attend their meetings, go rock hunting, find a rock club, etc. Just get involved, read about fossils and the human body and taxonomy, and chemistry and everything else.
In other words, put it together yourself.
I have been half-heartedly working on a science series of books for homeschoolers Pre-K through high school…
SORRY. I wish I had a better answer for you. Sadly, secular science materials for homeschoolers pretty much stink.
My daughter is using a pretty nice Biology textbook/workbook/lab book combo that I put together. We like it. It is by Prentice Hall:
http://www.amazon.com/Prentice-Hall-Biology-Student-Edition/dp/0132013495/ref=sr_1_1?ie=UTF8&qid=1343285256&sr=8-1&keywords=prentice+hall+biology
I’ve only gone as far as 8th grade with it, but we’ve had good experiences with Oak Meadow. It doesn’t necessarily fulfill the “affordable” option, but the rest of it meets your requirements pretty well. Also, have you looked into community college offerings near you? I have a friend whose daughter is doing science at the community college for her junior year of high school and has liked it pretty well. Good luck and be sure to let us know if you find something great!
Khan academy? It’s science stuff isn’t laid out nicely like their Maths, but the content would all be there… I don’t know if the galore park stuff is as old as you need, but they have lower high school stuff, and their courses are really well reviewed. I’m loving their Latin course, and I’ve just ordered their Maths—but both of those are their younger programmed.
Oh I feel your pain! We ended up at a resource center that offered lab based science courses — others we know ended up at community colleges for their lab sciences. I never paid attention to when they had to do them but what they needed for college (2 lab based classes). My boys are now both heading to college as dual enrollment students – one as a junior, one as a senior. There they will take 2 courses each and we will pay half tuition. They will get credits that they may be able to transfer to college when they attend.