I could not find much info on your listed 2a3 amps, but various driver tubes may also give the edge to the fuller sound you are seeking (while still using your current EML tubes).
The only DH/SET amps I’ve owned are the Audion Silver Night 300B and the Bottlehead Paramours (2a3) which are currently listed with my system.
Both are SS rectified, so my only options (aside from rolling the 6922/input tube of the Audion and the 12au7 tubes of my Bottlehead preamp) were rolling the driver tubes.
With The Ken-Rad 2a3’s mentioned in my above post I ended up using thinner sounding European 12at7’s to somewhat balance out the sound of the fat sounding K-R’s.
I also use various different/fuller sounding 12at7 drivers with early Viseaux engraved base 2a3’s as well as with Grey/Black plate RCA’s.
I used to switch preamp tubes as well (12au7’s), but this became too much juggling (for me) so I settled with simply swapping driver tubes to match/mate with various output tubes.
Anyway, this may be a simpler course to pursue while still using your current 2a3’s.