Only way to use your current pistons with a 3.75" stroke "383" crank is to use them with the short factory 5.565" 400 SBc rod....but none of the aftermarket "383" cranks will allow the use of those rods, they all have bigger counterweights than a stock 400 SBC 3.75" crank and are configured for a 5.7" or longer rod only
The only way to keep your pistons is with the short 400 rods and a reground old stock 400 crank with the mains ground to 350 size. This was the old school 1980's way of building 383's, before 5.7" or longer rod ready-to-run pistons were available.
You can do this fairly inexpensive with a 5.7" rod , cast crank, external balance rotating assembly, but whether it will be worth much as far as power is concerned will depend on the cam you are using now, and the intake manifold. Header primary size may make a difference too, depending on what you have. if you plan to keep RPM's below 6500 rpm, don't get to hung up on internal vs external balance, it doesn't help that much unless you are going to turn more rpm than that on a regular basis.
List some more of the parts you intend to keep using and we can see if this idea is worth the effort.
Parts stack is 1/2 of stroke + rod length + piston compression height + "xxxx" stack height.
Stock SBC block is nominally 9.025" tall, crank centerline to deck, so stack needs to add up to something close to that, with small allowances can be made using gasket thickness and block deck milling to accept a stack from roughly 8.990" thru 9.040".
Compression height is distance from centerline of wrist pin to top of flat deck area of piston, not dome or dish. Compression heights ("CH") are typically listed for most pistons.....stock 350 CH is 1.560".
Stock 350" stack is 1.74"(half stroke) + 5.700" rod + 1.560" piston = 9.000", and when used with the original designed .015" head gasket and 9.025" block height = a .040" quench clearance(piston to head distas nce as assembled with gasket),
Ideal quench is .035-.045"