There's nothing stopping you trying for either Visa Exempt or applying for another tourist visa at a nearby consulate.
With your history I guess you can expect to be questioned by the Immigration Officer at the airport or border crossing. Not that you've done anything wrong because you've had appropriate visas but they've got a job to do. Have the 3 proofs ready (accomodation, 20kthb and onward ticket)
If you have a sponsor ( boyfriend/girlfriend or whatever) then that would be helpful in both the embassy when applying for a visa or if you get questioned at immigration.
Good luck, let us know how you get on. ( Almost nobody reports back their results, a few, but not many)
If you have a company then you will have an accountant. Speak to your accountant about sorting out the non b. You can get the list from the embassy where you intent to get the non b from.