Wow that is quite expensive for albuquerque. what are the dates?

This forum has a thread for help finding LNF rates (where you post dates and locations and people often can offer help via PM) :
http://www.flyertalk.com/forum/marri...-lnf-rate.html

The cancel policies have to be the same, and the rates have to be publicly available, so the questions is whether kayak has room w/ cancellation policy for less than marrott.com @ $219. The marriott rewards offer rate is not public, so you can't use that in the LNF. That actually helps you since it makes a higher public rate the basis for comparison. You can also book a non-refundable rate on marriott.com (sounds like it's not available) and use the kayak non-refundable rate, but that's a risk that I wouldn't take unless you understand the LNF completely because if you get denied, you are stuck.

As marineflyer says, it's possible they'd approve it (I've found they sometimes don't read all that closely). No risk to you if the marriott.com rate is refundable. If you are denied, just cancel, and rebook later (to reset the 24 hour window) and try again.

I always thought hotels knew how to game the system a bit - if they let all the 3rd party sites have cheaper rates with only advance payment, and marriott.com only has refundable rates, that effectively skirts the rules. But if people are regularly getting those approved, maybe it's time to start trying!