You can't do many things while he is pressuring you, warrant is risky 'cause many things Sol has are warrant safe (bandit bringer, bandit revolver and sometimes gunflame if FRCed) so you have to be careful and not use it too much. Also 2D will beat pretty much every move you have even 2HS in most cases, Sol players I play against love to use this move in pressure strings to counter moves however HS EXE might be a good idea now to get rid of his 2D. High Jump > air dash is also a good idea to get out of the corner but be careful of 5K.
My advice is to turtle all the time with webs, trees, skulls, EXEs and not let him approach, then when you knocked him down go for pressure until death. A great tactic against Sols who love keeping you in the corner forever is to set up a high zeinest close to the corner behind you (but not to close, leave something like a 1-2 characters distance) when you still have the time to do so. It's very annoying for him because it's a space that he needs to do his combos and where he will most likely never be while pressuring you so there are few risks that he will remove it (unless he does bandit bringer, but in this case the net will catch him during the move haha).
So yeah, setting a web at this strategical space seems to be a very effective tactic against Sol from my experience, it is a sort of security card you have even if he happens to pressure you and break your guard.