yikes 240ma
you may want to try that with something else, Thats more than I get on most of the color sets that operate at 25kv.
A couple things I frequently do is add a cathode fuse (although that may or may not protect depending on how quickly it blows) and I add a B+ fuse right at the output from the diodes (if SS that is). The idea being it may save something in case of a runaway B+. I know its overkill but since parts are hard to come by, why not. the HOT cathode fuse makes for an easy check of currrent. Did you bypass the meter leads with a .1uf cap when reading the current?
but all that aside, if its operating and not too warm, then I would just leave it alone.