Well, the bead itself carries no current..
But it sounds as it would be acceptable to parallel two of those beads rated for 10A and that would probably allow a 10A current to be passed(assuming the series resistance are equal)
Although you can get 10 A rated ferrite beads, I won't use them for 10 A DC. Instead consider a small ferrite inductor with full specifications like this https://katalog.we-online.de/pbs/datasheet/744308040.pdf
What do you mean with "the DC load regulation", I have a hard time putting it into some context so that I get what you are saying.For example if the DC load regulation is 10A for 100 mV it has a output of 10 mΩ. A load cap with 10 mΩ ESR would not attenuate much and you may need two series chokes, one for below 1MHz and one with an SRF above the rise time equivalent frequency.
Material: Usage: Freq Range:
K1 Resonant circuit inductors 1,5MHz - 12MHz
K10 Inductors for line attenuation 0,1MHz - 1MHz
M13 Inductors for line attenuation 0,001MHz - 1MHz
M33 Resonant circuit inductors 0,2MHz - 1MHz
N22 Proximity Switches 0,001MHz - 0,2MHz
N27 Power transformer 25kHz - 150kHz
N30 Broadband transformers 0,01MHz - 0,4MHz
N41 Power transformer 25kHz - 150kHz
N45 Broadband transformers 0,01MHz - 0,1MHz
N48 Resonant circuit inductors 0,01MHz - 0,1MHz
N49 Power transformer 0,3MHz - 1MHz
N72 Power transformer 25kHz - 300kHz
N87 Power transformer 25kHz - 500kHz
N92 Power transformer 25kHz - 500kHz
N95 Power transformer 25kHz - 500kHz
N97 Power transformer 25kHz - 500kHz
T35 Broadband transformers 0,01MHz - 0,2MHz
T37 Broadband transformers 0,01MHz - 0,3MHz
T38 Broadband transformers 0,01MHz - 0,1MHz
T46 Broadband transformers 0,01MHz - 0,1MHz
T57 Broadband transformers 0,01MHz - 0,5MHz
T65 Broadband transformers 0,01MHz - 0,2MHz
T66 Broadband transformers 0,01MHz - 0,1MHz
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