It's not so much the speed and roll rate that make it hard to fly slow rolls cleanly. It is your flat bottomed wing.
The dive is caused by not keeping the nose high enough thru knife edges and inverted. Little drops at different points of the roll add up, and once the nose drops you are not getting it back.
A flat bottomed airfoil needs a very high angle of attack to fly inverted. It needs the same attitude when rolling thru inverted in a slow roll.
There is nothing inherently wrong with pitching the nose up some at the start of the roll. In fact, I'd say it is a necessity in your aircraft. From a judging perspective, only pitch up enough to put the nose in the attitude you want to hold thru inverted, and don't do it long enough to visibly affect the flight path. If you blend it into the first 8th of the roll, it will look clean. Enough.
I maintain that a slow roll can be done at any speed that does not result in a stall. The Split S and Immelman both include a half roll at 85 mph. You have to be less aggressive with control inputs to avoid an accelerated stall, and you aren't going to get much lift in knife edge flight, so you will need even more AoA. But it can be done, and is useful to learn. Worst case, you stall and fall out, so have plenty of altitude.
I would be hesitant to do a lot of slow rolling in an aircraft without inverted oil. Maybe it's not a problem, I just don't know enough about engines to say.
Adam Cope, the IAC board test pilot for the known sequences, posted on Facebook yesterday that the reference aircraft for Sportsman is a Citabria with non-inverted systems.