When I first started using a rotary cutter I taught myself to use both left and right and as I taught classes I encouraged students to do the same I'm left handed so throughout my life have had to learn to use both. i only use an Olfa which can be used with either hand.
Get some old worn out sheets something that was to be tossed and teach yourself to use your left (very friendly) hand just go a bit slower and just cut refold and cut somemore :-)
i sometimes use stripology but find that sometimes getting the blade into the slot ackward but it does work.
if you consistantly cut strips i highly recommend the Accu-quilt electric system. im older now and invested in one about 3 years ago and it has served me very well. stay well and continue this wonderful art form!