fragging through the flesh on LPS is a risky proposition. chances of secondary infection get quite high when you cut open the heads. some are almost immune to it like acanthastrea and micromussa, but soft heads like bubble coral, frogspawn, and other like them seem prone to infections when tissue cuts are made. its a lot riskier to cut through the flesh. it can be done but the chance of survival drops dramaticly. its what I call a hard frag. you can try a couple different things.
1 wet tilesaw then bucket soak for an hour with heater and powerhead (pointed up)
2 rubberband semi snug accross the area of fleshcovered skeleton where you want to cut, wait untill the flesh receeds from that area then cut with whatever tool you would like, dremel tile saw rotozip....
3 wait untill the heads seperate (not the answer your looking for)
4 (this one I dont reccomend, but I have done it successfully) come up underneath the heads and split the heads vertically between the mouths with a pair of snips/dikes/bone-cutters, like splitting firewood, then use a razor to seperate the flesh (VERY RISKY), bucket soak with powerhead (pointed UP) and heater for 1 hour.