The Force 150 was only made for a couple of years and discontinued in 1992 I think). It used the Force designed one piece lower unit. NO Mercury designed lower unit will fit. Thus: You need to find a pre-1992 lower unit. Since all these lower units were 1.95 ratio, you can use a lower from an 85, 90, 120, 125, or 150.
These one piece lower units were made since 1979 and all have the same bolt pattern. HOWEVER: The earlier Chrysler and Force lower units, while they will fit, used a different gear ratio--most were 1.76 and a couple were 2 to 1. Again, while they will fit, The higher gear ratio will hurt performance. Additionally, The later Force lower units had more robust gears than the earlier ones. Your strong 150 may be able to strip out the gears of earlier units.
Were it my engine, I would wait for a lower unit from a later Force--anything with a 2 piece drive shaft. If you are desperate and the price is right, then gamble on an earlier one piece ASSUMING the drive shaft is the correct length.