You need to let it grow to between 1/8" and 1/4" before you can really wax it. So it's going to be really obvious. And if you've enough growth to have to shave every day, it may be to heavy to wax effectively.
Let your boyfriend see you with a day's growth. Try getting * him * to shave it for you. Make it something you share and he'll enjoy it as something that makes you special. Most guys are really good if you're open with them about it. What they dont' like is feeling they've been deceived.
I shave every day too and have done since I was fifteen.