when fighting a boxer with your hands only, you need timing and commitment to enter, and yes, leaving your kicks out of the game, is not you trying to box, but you developing better hands. work your kicks at other times.
when a boxer jabs or fakes a jab, what do you do? do you try to block? if so, your playing the wrong game, because if you try to block the jab, most times he fakes that jab, and gets you open, and the same hand turns to a hook to your jaw, and you hurting. and boxers have great sense of distance and timing.
one thing i learned in wt, which was effective for me, is when the opponet is within range to hit, as soon a you see the shoulder move at all, you eneter, and interupt his timing, whether he faked, or threw the jab, you crashed him, and yes, its easier said than done, but if you work it over and over, you will succeddwhat technique to enter with, cannot be explained by writing, you would need to see it. but i have watched many wc guys try to practice drills blocking a jab/cross/hook, and in my opinion, it will never work, boxers are way to fast, the punches will come high and low, fast, etc, you will not see a jab cross hook combo coming.
also, remeber the kuen kut, recieve what comes, follow what goes, if you did stop his jab, you need to follow his hand back to his body, and be as fast as he is, again, its timing, and if he is just peek a boo, you need to throw ot punches as high and low reference points,and once there is contact do your thing.
try any of the above, but the wt way works for me,intercept,and stick,try to get behind him, or to the outside, when entering, its very dangerous down the middle, with a boxer.
take your time with this, and dont give up, give it a year, and you will be doing what alot of guys dont do.working reality, then when you feel your hands can hang with a boxer, then use your feet,and see how much better you are, but be prepared to get hit alot for the first few months, when i first tried stopping grapplers in training, i got slammed over and over, like stallone getting slammed by hogan in rocky 3, but these things are better learned in the practice, than in the street