The short answer: there is plenty of lateral room, so ask.
Slightly longer answer:
There is almost certainly NO conflicting traffic once you are past CLN, and even before CLN the chances are that the arrivals into ABBOT are well above you. If you need to deviate for weather, then ask in plenty of time, and ATC will do their best to accommodate you. We would rather do that than have you messing up the place by falling from the middle of a CB in several pieces! As for leaving CAS, we will advise you of that and downgrade the service, but again that is probably the least of your worries. If you HAVE to go into D138/D138A and they are active, we do have the means to contact them and get them to stop firing in an emergency, but it is probably wise to plan your wx avoidance in the other direction
Also, bear in mind that you can fly CLN-COA at up to FL 110 if that helps.