The only home ones I've seen at that cost have been so poor that you'd have better luck throwing the media at the frame. Even the entry level 'proper' setups aren't that great. Personally I'd find somewhere that can acid dip it for you - check out wheel refurbers and powdercoaters as they often do this. It's not as cheap as it used to be though unfortunately, but then the chemicals you can buy to strip paint that way at home are so neutered these days as to be almost useless. An acid dip will leave the aluminium bare, which will be as it was when it was made but the downside is getting paint to stick to bare metal can be tough. If you go down the route of commercial blasting, I'd speak to those same places rather than industrial places as they tend to deal with aluminium a lot more and will use a finer blasting media - steel girders require a very different setup to a frame with <1mm tubing!
If it's aluminium then a good etch primer like Upol will be necessary to help your paint stick.