Due to the different CB control (DS I has lever, DS II has 2 lies/cables) your boat might be different, but I can push my CB up into the trunk about 1-2" above the bottom of the boat, indicating to me that there is room above the CB in the trunk.
I see that your DS I doesn't appear to have the fiberglass "cap" on top of the trunk like later boats did (and current CCSB-built boats do), so that complicates things a bit...... or MAYBE not? I might be tempted in that case to sand the area down to bare fiberglass and lay up a few added layers of thickness, then drill and tap for short machine screws into the sides of the trunk. Done right it will actually work OK. You could instead glass in a couple of metal plates one on each side to thread the screws into. I will have to defer to an experienced DS I owner for any better ideas. (I have over 20 years of DS II knowledge, but although familiar with the DS I, my knowledge is not complete) I'd suggest checking out the Forum on the Day Sailer Class Association web site,
www.daysailer.org You do not have to be a DSA member to post on that forum, you will need to set up a (free) user name and password though. Also. check out the Day Sailer Class Facebook page (again, free sign-up) and ask what other DS I owners have done, there are a lot of DS I racers on those forums and they have some great ideas. (And more than a few, VERY high tech, go-fast mods.)