I personally use the 90gr Hornady XTP so I can't share my own experience, but since no one is willing to answer the actual question (that happens frequently) I thought I'd share my thoughts.
To address your question - I've read that some people do use the _110_ gr bullets for the M1 to reload for the broomhandle. That gets mentioned pretty much every time someone asks that question. Search further back in this forum.
I've never seen or heard of a 100gr bullet made specifically for the broomhandle, I suspect that the load data was developed for the M1 bullet being adapted for the broomhandle.
Several things worthy of noting, and, yes some of this is being overly cautious, but that's how reloading is:
When you start loading you will see that the case is far from full so your chance of a compressed load is low.
When you use a heavier bullet, you use a lighter load, so see above.
Obviously do start at the minimum the manual recommends.
Seat as little as possible withing the parameters above.
All of this should give you a safe starting load. You will note I did not say anything about your cartridge's overall length being within the max / to fit the magazine. That's because I would single load the first trial rounds if they are too long for the magazine.
Now watch for pressure signs. If none, start adjusting your seating depth _very slowly_ until you are happy (seating depth affects the pressure VERY quickly).
Still no pressure signs? Start increasing the powder _very slowly_ until you have consistent action cycling.
Having a press available at the range for quick load development or having an antique broomhandle makes this process go faster. Good luck!