Ok, got the job done this weekend.
1) Plan was to remove the remaining tile that was covering about 30% of the floor in mostly random patches. There was one large section that was about 15x15ft, but the rest was 4-6 tiles in random places.
2) I attempted to use Sentinel 747+ adhesive remover, but it didn't work to well.
3) Last weekend, we rented a floor scraper from home depot. This worked well in regards to getting all the tile up. However, it couldn't get most of the remaining adhesive up except for larger chunks.
http://www6.homedepot.com/tool-truck-rental/PRO_Floor_Stripper/FCS16/index.html
4) Tried using a little bit of the Sentinel 747 and a hand scraper on a small area to test it. It actually did help remove some of the adhesive, but it was really messy and took a lot of labor just to clear 2 tiles worth.
5) This past weekend I rented a floor polisher with a 'coating removal bit'.
Polisher -
http://www6.homedepot.com/tool-truck-rental/Floor_Polisher/56382881/
Removal Bit -
http://www6.homedepot.com/tool-truck-rental/Coating_Removal_Disc_7/12569/index.html
7) Since I'm in a sling, I hired a friend to come over to do the grunt work. I bought another gallon of the Sentinel 747. We hooked up a garden hose to the hot water hookup for my laundry. We hosed the entire area down with super hot water, then used a mop to spread around the adhesive remover. We let it set for about 30 minutes then started 'sanding' the floor.
We had the windows open, and dust masks on. That helped. It was pretty time consuming. We had to sand small areas at a time and be very thorough and patient. All in all, it took us about 8 hours, but we ended up sanding almost the entire floor, not just the spots with adhesive.
It worked. It actually worked rather well and I'm super glad we rented that machine. Every last bit of adhesive is gone, we got rid of a lot of random marks and stains on the floor, and we able to smooth down some areas where the texture was rough.
The floor now looks better than ever, it's super clean, the concrete looks like new in many areas, and it's now prepped for being sealed and painted.
Cliffs:
Used scraper to remove tile.
Sprayed hot water on floor to warm up adhesive.
Mopped Sentinel 747 on adhesive and let it set for 30 minutes.
Spent 4+ hours with the polisher+prep bit slowly but surely sanding down the concrete until it was smooth and clean.
Hosed down floor until all debris was gone.
Now I'm running a dehumidifier to dry the basement out before I seal the cracks and then put a sealer/paint on the floor.
Case closed.