Anyone know where I could buy online 700-series tri-phosphor or even halophosphate F32T8 lamps? Maximum price is $6 per bulb.

You might find some on Facebook Marketplace.

Sadly, I do not have access to a car, currently. So I am mainly looking for places I could buy off of that can ship it to my door.

700-series should still be relatively easy to find in all of the typical places, they were super popular. They haven’t been made in over 10 years though, so supply is limited. You should probably be able to find them online pretty easily, though the prices will most likely be astronomical. It might be worth checking your local small hardware store if you have one, my local Ace still has some GE F32T8/SP41s in stock. As for halophosphate, these are super rare. Sylvania made them for a brief time in the early 2010s in response to a triphosphor shortage, but the bans that took place shortly after meant they had to be discontinued. GE also made deluxe halophosphate F32T8s, those were made for an extended period, so they are slightly more common. But all of these F32T8 halophosphate lamps are pretty rare and are probably not something that could be found on demand.

Do these lamps use a 700-series phosphor?
https://www.amazon.com/Philips-281618-Fluorescent-Lumens-Phosphors/dp/B008VJCVFO
Recent datasheets claim the use of a 800-series phosphor but older datasheets do show the use of a 700-series phosphor. Being USA made, they might be old enough to still have the 700-series phosphor, although I am unsure.

“735” indicates a 3500K 700-series phosphor. So unless they’re lying about what product is being sold, it should be 700-series. I looked up the spec sheet for this lamp, there is indeed one that says it uses an 835 phosphor. That is almost certainly a mistake.

Doesn't it say "700 series" on the lamp?

Don't trust what you see in the photos.  They'll use old photos for new lamps.