Will a pair of Manley tube amps be a good match for Martin Logan ESL 11A's?

In general its frequently thought tubes are a bad amp for electrostatic speakers.  Something to do with current delivery that low ohm speakers require. On the other hand there are some tube amps that can do the job.  Perhaps a different combination would suite your needs better.

The Logans are rated at 4 ohms.

They might be conservitally be rated at 4ohm, but they do dip to 1ohm in the highs, with "may" see a dulling/recessing of the highs with many tube amps, unless like the Roger Modjeski RM200 Ram Tube amps, that have 1, 2, 4, 8ohm transformer taps, then enough watts become an issue.
Because the lower you go in "tap ohmage" the "lower the watts become" also, so a 100w at 8ohm tube amp may become only 25w at 2ohm.

Cheers George

In general its frequently thought tubes are a bad amp for electrostatic speakers.

I never heard this before.  Perhaps this is true for amps with rather  output transformers.  But any speaker that dips down to 2 or even 1 ohm is going to cause a lot of amplifiers, tube or SS some serious pain.

I have run Sound Lab A1's for 13+ years, and these too dip to nearly 1ohm at the higher frequencies.  The 220w Wolcott tube amps drove these speakers incredibly well.  And then I changed to CAT JL-3 amps, 150w rated, which also do not have multiple output taps, and the result is stunning.

Make a call to ML as well as VTL to learn if a particular VTL amp would be a good match for the 11A's.