There is no best antenna for 11m,its that simple,
conditions both local (soil conductivity,surrounding objects etc etc,) and propagation wise polarity,(angle of take off/incoming footprint,and so on) dictate what's best at any given time,moving an antenna inches or feet can make huge differences in certain directions at the cost of others.
For me best allround solution would be a 3 element beam, with good 5/8 above it,brand irrelevent as they all pretty much perform the same unless really pish poorly designed or using crap materials on my chimney.Vertical to listen on and beam to home in.
Add to that a higher take off angle verticle or even a lowish mounted dipole at the end of the garden which can work well on short range SP,E and you got just about everything covered.I also find this can often bring in stations beyond normal local and even the shortest SP,E, no doubt some form of ducting be it troposphere or lower.
I've seen a similar type of ducting when there was no skywave propagation at all but at the seafront signals were coming in from other coastal stations well out of range of normal line of sight but usually a very steady signal strength on one day for hours on end which just suddenly disappears,I wasn't only one witnessing it either as a boat en route from Scotland heading to N.Ireland was getting it too,the station we were both getting was on Blackpool promenade,well into the North of England and far from the seafront of the town of Saltcoats on the clyde estuary but we couldn't get through as I didn't have amp with me and he was being bombarded by Rep of Ireland stations directly across the irish sea from him,but I had him S2 for over 4 hours.I call it sea ducting, not sure if anyone else has come across this phenomenom
Add 100w or less, anything more is heavy overkill except in conditions so poor your probably better spending your time off the radio and doing something more productive.Some people have the perception if they use enough power they can create propagation paths,wtf?
Having faith in your gear,shows in confidence in your voice and pays more rewards than all the money in the world invested in an unconfident operators station.