C F A# D# and A# F A# D#?
Yes a custom set of single strings would be ideal.
If you're using a brand other than Circle K Strings i recommend a .135 minimum for the A#/C.
A standard heavy set such as DR DDT will have the higher strings too tight for F A# D# so you need light EAD strings for those.
Tensions for nickel roundwounds:
50 D# 34 pounds tension
70 A# 38
95 F 39
135 B 36
Here i've roughly balanced the tension in the average tuning of B F A# D# to minimise the imbalance when the lowest string is tuned A# or C. This is a light set.
You could build a custom set with Circle K Strings singles, following knuckle_head's advice on gauges, there is no price penalty compared to buying a set:
Circle K Strings - Single Strings - All tensions,scales, gauges