An Aviar, Wizard, or Ion would do what you're asking, but your Supersoft Omega should too.
You didn't actually say what the problem was. Are you coming up short? Throwing too long? Can't "range" the shots so you're always either short OR long? Not turning the disc or is it hyzering out early?
You may like a different putter more than the one you're using, but I don't think any of them will solve your problem. 100-150ft. is a tricky range, especially when obstructed. I think you need to practice these shots more.
Without more info, it'll be tough for anyone to help - in the meantime I offer you this:
1) Throwing a putter down a short line (from a standstill, like you're describing) is all about weight forward + acceleration
2) you don't need any fingers actually pressed against the rim for most of the distance you described. You should be able to increase pressure on the edge of the rim with the side of your index finger's knuckle if necessary. This will help if you're overthrowing these shots or torquing them over too hard.