The cold caps are not at all reliable. In a great many cases they do not work, or provide unsatisfactory results.
Your reasons for wanting to keep your hair are your own business, but be very careful of pinning too much hope on an unpredictable process.
None of us want to lose our hair. I've done it twice and while I can tell you it isn't as bad as you expect, you won't believe me--that is something we all have to work out for ourselves. I'm more comfortable walking down the street bald than I would be wearing shorts in public. I'd die of shame. Thankfully none of my treatment required me to bare my legs to a critical world.
If you are going to take much more time figuring this out, the chemo may not be worth the trouble. We all have to make these decisions and most try desperately to bargain or deal their way out of unpalatable treatments. Maybe you need to talk to your oncologist about how the delay is affecting your prognosis and think about moving straight into surgery, rads and hormone therapy with the hope that it will be enough. Marg.